Problem:
Greatest Common Divisor

Write a program which finds the greatest common divisor of two natural numbers a and b

Input

a and b are given in a line sparated by a single space.

Output

Output the greatest common divisor of a and b.

Constrants

1 ≤ a, b ≤ 109

Hint

You can use the following observation:

For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)

Sample Input 1

54 20

Sample Output 1

2

Sample Input 2

147 105

Sample Output 2

21

Solution in C (judge verdict: Time Limit Exceeded)

#include <stdio.h>
#include <stdlib.h>

int gcd( int x, int y )
{
        int tmp = x % y;
        int count = 1;
        int answer = 0;

        while ( count <= y )
        {
                if ( x % count == 0 )
                {
                        if ( y % count == 0 )
                        {
                                answer = count;
                        }
                }
                count = count + 1;
        }

        return answer;
}

int main()
{
        int a, b, answer;

        scanf("%d %d", &a, &b);
        if ( b < a )
        {
                answer = gcd( a, b );
        }
        else
        {
                answer = gcd( b, a );
        }

        printf("%d\n", answer );
        return 0;
}