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package Maths;

/**

* This is Euclid's algorithm which is used to find the greatest common denominator

* Overide function name gcd

*

* @author Oskar Enmalm 3/10/17

*/

public class GCD {

/**

* get greatest common divisor

*

* @param num1 the first number

* @param num2 the second number

* @return gcd

*/

public static int gcd(int num1, int num2) {

if (num1 < 0 || num2 < 0) {

throw new ArithmeticException();

}

if (num1 == 0 || num2 == 0) {

return Math.abs(num1 - num2);

}

while (num1 % num2 != 0) {

int remainder = num1 % num2;

num1 = num2;

num2 = remainder;

}

return num2;

}

/**

* get greatest common divisor in array

*

* @param number contains number

* @return gcd

*/

public static int gcd(int[] number) {

int result = number[0];

for (int i = 1; i < number.length; i++)

// call gcd function (input two value)

result = gcd(result, number[i]);

return result;

}

public static void main(String[] args) {

int[] myIntArray = {4, 16, 32};

// call gcd function (input array)

System.out.println(gcd(myIntArray)); // => 4

System.out.printf("gcd(40,24)=%d gcd(24,40)=%d%n", gcd(40, 24), gcd(24, 40)); // => 8

}

}