how to get loop to solve common divisor method - java

how do I get this loop to print all the divisors with two user inputted numbers including 1 but just print 1 and relatively prime when the two numbers have no common divisors.
System.out.println("Common divisors of " + a + " and " + b + ":");
for (int i = 1; i <= b; i++)
if (a % i == 0 && b % i == 0) {
if (a % i == 0 && b % i == 0) {
System.out.println(i);
if (i == 1)
System.out.println("Relatively Prime");
}
}
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
System.out.println("Please enter two positive integers:");
int input1 = scan.nextInt();
int input2 = scan.nextInt();
printCommonDivisors(input1, input2);
}
}
Right now it says relatively prime after 1 even if the numbers have common divisors.
I am just trying to get it to say relatively prime when the two numbers only common divisor is 1 but also not print relatively prime after 1 when the numbers do have more common divisors. this the output right now.
Please enter two positive integers:
10
20
Common divisors of 10 and 20:
1
Relatively Prime
2
5
10

You need a boolean value to store whether you have found a greater-than-one divisor inside the loop. Instead of
if (i == 1)
System.out.println("Relatively Prime");
Check the boolean value after the loop and print "Relatively Prime" if a divisor was not found.
You have the line if (a % i == 0 && b % i == 0) { twice, you only need to have one of it, make sure to remove the closing brace for it as well.

If you want to print "relatively prime" only if there were no other divisors, you should check for other divisors first (for instance by starting with the large numbers and working your way down, rather than starting with small numbers and working your way up) and if you find one, somehow record this fact so you later know not print "relatively prime".
In code:
boolean divisorFound = false;
for (int i = b; i > 1; i--) {
if (a % i == 0 && b % i == 0) {
System.out.println(i);
divisorFound = true;
}
}
System.out.println(1);
if (!divisorFound) {
System.out.println("relatively prime");
}
Of course, there are more efficient algorithms. For instance, one could use euklid's algorithm to efficiently determine the greatest common divisor, then find its prime factors, and use that to efficiently iterate all divisors.
this works good but the output code is in descending order I need it ascending sadly
Actually, since we take the 1 out of the loop, the order of the loop doesn't matter anymore :-)
System.out.println(1);
boolean divisorFound = false;
for (int i = 2; i <= b; i++) {
if (a % i == 0 && b % i == 0) {
System.out.println(i);
divisorFound = true;
}
}
if (!divisorFound) {
System.out.println("relatively prime");
}

Related

The loop has no output?

The code below has no output when I run it, I think somehow it is infinite loop? How to fix it?
Write a method named getEvenDigitSum with one parameter of type int called number.
The method should return the sum of the even digits within the number.
If the number is negative, the method should return -1 to indicate an invalid value.
EXAMPLE INPUT/OUTPUT:
getEvenDigitSum(123456789); → should return 20 since 2 + 4 + 6 + 8 = 20
getEvenDigitSum(252); → should return 4 since 2 + 2 = 4
getEvenDigitSum(-22); → should return -1 since the number is negative
public class getEvenDigitSum {
public static int getEvenDigitSum(int number) {
int sum = 0;
int lastDigit=0;
if (number < 0) {
return -1;
}
while (number >0) {
lastDigit = number % 10;
if (number % 2 == 0)
{
sum += lastDigit;
number = number / 10;
}
}
return sum;
}
}
while (number >0) {
lastDigit = number % 10;
if (number % 2 == 0)
{
sum += lastDigit;
number = number / 10;
}
}
OK, and what happens if the number isn't even? You didn't make an else/else if statement after; if your number is odd, it stays the same, the loop is infinite, and hence your code does nothing.
Your condition only handles even digits, but think about what happens when you get a number that contains odd digit, like 1221 for example.
Try adding the missing else statement:
while (number >0) {
lastDigit = number % 10;
if (number % 2 == 0)
{
sum += lastDigit;
number = number / 10;
}
else {
// Deal with odd digit, leaving for you to implement
{
}
General tip: The best way to find errors in your code is to write tests and debug your code.
These are two skills every developer should poses and practice regularly

How can I make it so my while-loop only prints even numbers? Java Eclipse IDE

Beginner here. For my coding class, we have an assignment that requires us to print numbers 1-20, but configure it so that it only outputs even numbers. Here is what I have so far but I'm quite stuck. He says to put an if statement and use the "%" operator but I've no idea where to put them.
int counter = 1;
System.out.println("Part 2 - Even Numbers");
while (counter <= 20)
{
//if (counter
System.out.printf("%d ", counter);
counter++;
} // end while loop
Instructions for assignment
My Output
CORRECT Output
if(counter % 2 == 0){
System.out.printf("%d ", counter);
}
counter++;
% operator is mod operator, if counter % 2 == 0 , then counter is an even number
% is an arithmetic operator, it is called MODULO.
Modulo operator returns the remainder of 2 numbers. In this case, we use a modulo to find out whether a number is even or odd.
odd%2 returns 1
even%2 returns 0
The while loop loops through the first 20 elements. So we put an if statement before printing the element. If the counter is an even number i.e (counter%2 == 0) we print that.
This is the code that prints even numbers:
int counter = 0;
System.out.println("Part 2 - Even Numbers");
while (counter <= 20)
{
if (counter%2 == 0){
System.out.printf("%d ", counter);
}
counter++;
} // end while loop
This can also be done without using MODULO operator:
int counter = 0;
System.out.println("Part 2 - Even Numbers");
while (counter <= 20)
{
System.out.printf("%d ", counter);
counter+=2;
} // end while loop
use fori
public static void main(String[] args) {
for (int i = 1; i <= 20; i++) {
if (i % 2 == 0) {
System.out.println(i);
}
}
}
% is the remainder operation

How to list even and odd digits from integer inputs

Okay so my question is how can I display odd and even digits of a single int input not the whole input. This while using "for" or "while" loop and the % modulator. For example, the program ask a user to enter a positive integer and then it would read each digit and list even and odd digits. I was unable to find a method that reads each character except for the .charAt() but I cant make it work. This is my fail attempt. NOTE: I can't use the % modulator because idk any method to read each digit for an int. Please help, thanks.
String = userEntry
int r = userEntry.length() - 1;
System.out.print("The even numbers are ");
int c = 0; // 0 would count as even.
int size = 0;
while (size < r && c < 9)
{
if (c == userEntry.charAt(size))
{
outputFile.print(" " + userEntry.charAt(size));
System.out.print(" " + userEntry.charAt(size));
size++;
}
else
{
c+=2;
}
For that you can use the modulo operator.
public class Main {
/** http://stackoverflow.com/q/36053971/6077352 */
public static void main(String[] args) {
int input = 123456789;
while (input > 0) {
if (input % 2 == 0) {
System.out.println(input % 10 + " is even");
} else {
System.out.println(input % 10 + " is odd");
}
input = input / 10;
}
}
}
Example output:
9 is odd
8 is even
7 is odd
6 is even
5 is odd
4 is even
3 is odd
2 is even
1 is odd
An if statement would do the job of deciding whether the number is odd or even. As for the for statement, in order to run it through the whole array you would use code like this:
for(*variable* = 0; *variable* < userEntry.length; *variable*++)
{
}
The mod operator gives you the remainder of doing division on an int.
So any number mod 10 will return the last digit because the remainder of dividing a digit less than 10 is the number itself. So 30%10=0 and 32%10=2. So you can use the mod to separate the digits.
And then for each digit you want to check if if it is even or odd. even numbers are divisible by 2 so number%2 should leave no remainder.
You then have to divide your number by 10 to do the same for the tens column and then again for the hundreds column and so on. This should work for you.
while (number>0) {
if ((number%10)%2==0) {
System.out.println(number % 10 + "even");
}
else {
System.out.println(number % 10+ "odd");
}
number = number / 10;
}

How to correct my prime factorization program?

Here is my program for outputting prime factorization of a given number. I am still just a beginner in java so I know it is not the most efficient code. The problem arises when I input relatively big numbers.
Input: 11 Output: 11
Input: 40 Output: 2 2 2 5
Input: 5427 Output: 3 3 3 3 67
Input: 435843 Output: 3 3 79 613
Input: 23456789 Output: none (there appears to be an infinite loop and the code should return 23456789 since it is a prime number on its own)
What might cause this issue?
import java.util.Scanner;
public class PrimeFactorization {
public static boolean isPrime(long n) {
boolean boo = false;
long counter = 0;
if (n == 1) {
boo = false;
} else if (n == 2) {
boo = true;
} else {
for (long i = 2; i < n; i++) {
if (n % i == 0) {
counter++;
}
}
if (counter == 0) {
boo = true;
}
}
return boo;
}
public static void primeFactorization(long num) {
for (long j = 1; j <= num; j++) {
if (isPrime(j)) {
if (num % j == 0) {
while (num % j == 0) {
System.out.printf(j + " ");
num = num / j;
}
}
}
if (num == 1) {
break;
}
}
}
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.println("Enter any number:");
long num = scanner.nextLong();
System.out.print("Prime factorization of your number is: ");
primeFactorization(num);
scanner.close();
}
}
There's no actual error - you're just doing things a very inefficient way. Basically, you're checking every number between 1 and 23456789 for primeness, before dividing.
There's absolutely no point in doing this check. As you work your way up from 1 to 23456789, each time you uncover a factor, you know it has to be prime, because you've already divided out all smaller factors. So if you do all of the following, this will still work correctly, and much more quickly.
Remove the isPrime method completely.
Remove the line if (isPrime(j)) {, and the matching }
Change the loop so that j starts at 2, like for(long j = 2 ; j <= num ; j++) {
Remove if (num == 1) { break; } from the end of the loop. It serves no purpose at all.
No matter how efficient the code, factorizing large numbers takes a while - so long it may feel like the computer has hung. Given your code, even modestly large numbers will take a long time.
The main thing you can do to improve your code's efficiency to to note that for any pair of factors of a number, one of them will be no more than the square root of the number. You can use this fact to limit the loop to reduce the order of you algorithm for O(n) to O(log n).
long sqrt = Math.sqrt(number);
for (long i = 2; i < sqrt; i++) {
...
There are many other things you can do, but this change will have the greatest effect.
If number changes value during the loop (as for example in your second factorizing loop), you'll if course need to recalculate the end value:
for (...)
// if number changes
sqrt = Math.sqrt(number);

Prime Factorization Program in Java

I am working on a prime factorization program implemented in Java.
The goal is to find the largest prime factor of 600851475143 (Project Euler problem 3).
I think I have most of it done, but I am getting a few errors.
Also my logic seems to be off, in particular the method that I have set up for checking to see if a number is prime.
public class PrimeFactor {
public static void main(String[] args) {
int count = 0;
for (int i = 0; i < Math.sqrt(600851475143L); i++) {
if (Prime(i) && i % Math.sqrt(600851475143L) == 0) {
count = i;
System.out.println(count);
}
}
}
public static boolean Prime(int n) {
boolean isPrime = false;
// A number is prime iff it is divisible by 1 and itself only
if (n % n == 0 && n % 1 == 0) {
isPrime = true;
}
return isPrime;
}
}
Edit
public class PrimeFactor {
public static void main(String[] args) {
for (int i = 2; i <= 600851475143L; i++) {
if (isPrime(i) == true) {
System.out.println(i);
}
}
}
public static boolean isPrime(int number) {
if (number == 1) return false;
if (number == 2) return true;
if (number % 2 == 0) return false;
for (int i = 3; i <= number; i++) {
if (number % i == 0) return false;
}
return true;
}
}
Why make it so complicated? You don't need do anything like isPrime(). Divide it's least divisor(prime) and do the loop from this prime. Here is my simple code :
public class PrimeFactor {
public static int largestPrimeFactor(long number) {
int i;
for (i = 2; i <= number; i++) {
if (number % i == 0) {
number /= i;
i--;
}
}
return i;
}
/**
* #param args
*/
public static void main(String[] args) {
System.out.println(largestPrimeFactor(13195));
System.out.println(largestPrimeFactor(600851475143L));
}
}
edit: I hope this doesn't sound incredibly condescending as an answer. I just really wanted to illustrate that from the computer's point of view, you have to check all possible numbers that could be factors of X to make sure it's prime. Computers don't know that it's composite just by looking at it, so you have to iterate
Example: Is X a prime number?
For the case where X = 67:
How do you check this?
I divide it by 2... it has a remainder of 1 (this also tells us that 67 is an odd number)
I divide it by 3... it has a remainder of 1
I divide it by 4... it has a remainder of 3
I divide it by 5... it has a remainder of 2
I divide it by 6... it has a remainder of 1
In fact, you will only get a remainder of 0 if the number is not prime.
Do you have to check every single number less than X to make sure it's prime? Nope. Not anymore, thanks to math (!)
Let's look at a smaller number, like 16.
16 is not prime.
why? because
2*8 = 16
4*4 = 16
So 16 is divisible evenly by more than just 1 and itself. (Although "1" is technically not a prime number, but that's technicalities, and I digress)
So we divide 16 by 1... of course this works, this works for every number
Divide 16 by 2... we get a remainder of 0 (8*2)
Divide 16 by 3... we get a remainder of 1
Divide 16 by 4... we get a remainder of 0 (4*4)
Divide 16 by 5... we get a remainder of 1
Divide 16 by 6... we get a remainder of 4
Divide 16 by 7... we get a remainder of 2
Divide 16 by 8... we get a remainder of 0 (8*2)
We really only need one remainder of 0 to tell us it's composite (the opposite of "prime" is "composite").
Checking if 16 is divisible by 2 is the same thing as checking if it's divisible by 8, because 2 and 8 multiply to give you 16.
We only need to check a portion of the spectrum (from 2 up to the square-root of X) because the largest number that we can multiply is sqrt(X), otherwise we are using the smaller numbers to get redundant answers.
Is 17 prime?
17 % 2 = 1
17 % 3 = 2
17 % 4 = 1 <--| approximately the square root of 17 [4.123...]
17 % 5 = 2 <--|
17 % 6 = 5
17 % 7 = 3
The results after sqrt(X), like 17 % 7 and so on, are redundant because they must necessarily multiply with something smaller than the sqrt(X) to yield X.
That is,
A * B = X
if A and B are both greater than sqrt(X) then
A*B will yield a number that is greater than X.
Thus, one of either A or B must be smaller than sqrt(X), and it is redundant to check both of these values since you only need to know if one of them divides X evenly (the even division gives you the other value as an answer)
I hope that helps.
edit: There are more sophisticated methods of checking primality and Java has a built-in "this number is probably prime" or "this number is definitely composite" method in the BigInteger class as I recently learned via another SO answer :]
You need to do some research on algorithms for factorizing large numbers; this wikipedia page looks like a good place to start. In the first paragraph, it states:
When the numbers are very large, no efficient integer factorization algorithm is publicly known ...
but it does list a number of special and general purpose algorithms. You need to pick one that will work well enough to deal with 12 decimal digit numbers. These numbers are too large for the most naive approach to work, but small enough that (for example) an approach based on enumerating the prime numbers starting from 2 would work. (Hint - start with the Sieve of Erasthones)
Here is very elegant answer - which uses brute force (not some fancy algorithm) but in a smart way - by lowering the limit as we find primes and devide composite by those primes...
It also prints only the primes - and just the primes, and if one prime is more then once in the product - it will print it as many times as that prime is in the product.
public class Factorization {
public static void main(String[] args) {
long composite = 600851475143L;
int limit = (int)Math.sqrt(composite)+1;
for (int i=3; i<limit; i+=2)
{
if (composite%i==0)
{
System.out.println(i);
composite = composite/i;
limit = (int)Math.sqrt(composite)+1;
i-=2; //this is so it could check same prime again
}
}
System.out.println(composite);
}
}
You want to iterate from 2 -> n-1 and make sure that n % i != 0. That's the most naive way to check for primality. As explained above, this is very very slow if the number is large.
To find factors, you want something like:
long limit = sqrt(number);
for (long i=3; i<limit; i+=2)
if (number % i == 0)
print "factor = " , i;
In this case, the factors are all small enough (<7000) that finding them should take well under a second, even with naive code like this. Also note that this particular number has other, smaller, prime factors. For a brute force search like this, you can save a little work by dividing out the smaller factors as you find them, and then do a prime factorization of the smaller number that results. This has the advantage of only giving prime factors. Otherwise, you'll also get composite factors (e.g., this number has four prime factors, so the first method will print out not only the prime factors, but the products of various combinations of those prime factors).
If you want to optimize that a bit, you can use the sieve of Eratosthenes to find the prime numbers up to the square root, and then only attempt division by primes. In this case, the square root is ~775'000, and you only need one bit per number to signify whether it's prime. You also (normally) only want to store odd numbers (since you know immediately that all even numbers but two are composite), so you need ~775'000/2 bits = ~47 Kilobytes.
In this case, that has little real payoff though -- even a completely naive algorithm will appear to produce results instantly.
I think you're confused because there is no iff [if-and-only-if] operator.
Going to the square root of the integer in question is a good shortcut. All that remains is checking if the number within that loop divides evenly. That's simply [big number] % i == 0. There is no reason for your Prime function.
Since you are looking for the largest divisor, another trick would be to start from the highest integer less than the square root and go i--.
Like others have said, ultimately, this is brutally slow.
private static boolean isPrime(int k) throws IllegalArgumentException
{
int j;
if (k < 2) throw new IllegalArgumentException("All prime numbers are greater than 1.");
else {
for (j = 2; j < k; j++) {
if (k % j == 0) return false;
}
}
return true;
}
public static void primeFactorsOf(int n) {
boolean found = false;
if (isPrime(n) == true) System.out.print(n + " ");
else {
int i = 2;
while (found == false) {
if ((n % i == 0) && (isPrime(i))) {
System.out.print(i + ", ");
found = true;
} else i++;
}
primeFactorsOf(n / i);
}
}
For those answers which use a method isPrime(int) : boolean, there is a faster algorithm than the one previously implemented (which is something like)
private static boolean isPrime(long n) { //when n >= 2
for (int k = 2; k < n; k++)
if (n % k == 0) return false;
return true;
}
and it is this:
private static boolean isPrime(long n) { //when n >= 2
if (n == 2 || n == 3) return true;
if (n % 2 == 0 || n % 3 == 0) return false;
for (int k = 1; k <= (Math.floor(Math.sqrt(n)) + 1) / 6; k++)
if (n % (6 * k + 1) == 0 || n % (6 * k - 1) == 0) return false;
return true;
}
I made this algorithm using two facts:
We only need to check for n % k == 0 up to k <= Math.sqrt(n). This is true because for anything higher, factors merely "flip" ex. consider the case n = 15, where 3 * 5 = 5 * 3, and 5 > Math.sqrt(15). There is no need for this overlap of checking both 15 % 3 == 0 and 15 % 5 == 0, when we could just check one of these expressions.
All primes (excluding 2 and 3) can be expressed in the form (6 * k) + 1 or (6 * k) - 1, because any positive integer can be expressed in the form (6 * k) + n, where n = -1, 0, 1, 2, 3, or 4 and k is an integer <= 0, and the cases where n = 0, 2, 3, and 4 are all reducible.
Therefore, n is prime if it is not divisible by 2, 3, or some integer of the form 6k ± 1 <= Math.sqrt(n). Hence the above algorithm.
--
Wikipedia article on testing for primality
--
Edit: Thought I might as well post my full solution (*I did not use isPrime(), and my solution is nearly identical to the top answer, but I thought I should answer the actual question):
public class Euler3 {
public static void main(String[] args) {
long[] nums = {13195, 600851475143L};
for (num : nums)
System.out.println("Largest prime factor of " + num + ": " + lpf(num));
}
private static lpf(long n) {
long largestPrimeFactor = 1;
long maxPossibleFactor = n / 2;
for (long i = 2; i <= maxPossibleFactor; i++)
if (n % i == 0) {
n /= i;
largestPrimeFactor = i;
i--;
}
return largestPrimeFactor;
}
}
To find all prime factorization
import java.math.BigInteger;
import java.util.Scanner;
public class BigIntegerTest {
public static void main(String[] args) {
BigInteger myBigInteger = new BigInteger("65328734260653234260");//653234254
BigInteger originalBigInteger;
BigInteger oneAddedOriginalBigInteger;
originalBigInteger=myBigInteger;
oneAddedOriginalBigInteger=originalBigInteger.add(BigInteger.ONE);
BigInteger index;
BigInteger countBig;
for (index=new BigInteger("2"); index.compareTo(myBigInteger.add(BigInteger.ONE)) <0; index = index.add(BigInteger.ONE)){
countBig=BigInteger.ZERO;
while(myBigInteger.remainder(index) == BigInteger.ZERO ){
myBigInteger=myBigInteger.divide(index);
countBig=countBig.add(BigInteger.ONE);
}
if(countBig.equals(BigInteger.ZERO)) continue;
System.out.println(index+ "**" + countBig);
}
System.out.println("Program is ended!");
}
}
I got a very similar problem for my programming class. In my class it had to calculate for an inputted number. I used a solution very similar to Stijak. I edited my code to do the number from this problem instead of using an input.
Some differences from Stijak's code are these:
I considered even numbers in my code.
My code only prints the largest prime factor, not all factors.
I don't recalculate the factorLimit until I have divided all instances of the current factor off.
I had all the variables declared as long because I wanted the flexibility of using it for very large values of number. I found the worst case scenario was a very large prime number like 9223372036854775783, or a very large number with a prime number square root like 9223371994482243049. The more factors a number has the faster the algorithm runs. Therefore, the best case scenario would be numbers like 4611686018427387904 (2^62) or 6917529027641081856 (3*2^61) because both have 62 factors.
public class LargestPrimeFactor
{
public static void main (String[] args){
long number=600851475143L, factoredNumber=number, factor, factorLimit, maxPrimeFactor;
while(factoredNumber%2==0)
factoredNumber/=2;
factorLimit=(long)Math.sqrt(factoredNumber);
for(factor=3;factor<=factorLimit;factor+=2){
if(factoredNumber%factor==0){
do factoredNumber/=factor;
while(factoredNumber%factor==0);
factorLimit=(long)Math.sqrt(factoredNumber);
}
}
if(factoredNumber==1)
if(factor==3)
maxPrimeFactor=2;
else
maxPrimeFactor=factor-2;
else
maxPrimeFactor=factoredNumber;
if(maxPrimeFactor==number)
System.out.println("Number is prime.");
else
System.out.println("The largest prime factor is "+maxPrimeFactor);
}
}
public class Prime
{
int i;
public Prime( )
{
i = 2;
}
public boolean isPrime( int test )
{
int k;
if( test < 2 )
return false;
else if( test == 2 )
return true;
else if( ( test > 2 ) && ( test % 2 == 0 ) )
return false;
else
{
for( k = 3; k < ( test/2 ); k += 2 )
{
if( test % k == 0 )
return false;
}
}
return true;
}
public void primeFactors( int factorize )
{
if( isPrime( factorize ) )
{
System.out.println( factorize );
i = 2;
}
else
{
if( isPrime( i ) && ( factorize % i == 0 ) )
{
System.out.print( i+", " );
primeFactors( factorize / i );
}
else
{
i++;
primeFactors( factorize );
}
}
public static void main( String[ ] args )
{
Prime p = new Prime( );
p.primeFactors( 649 );
p.primeFactors( 144 );
p.primeFactors( 1001 );
}
}

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