Problem:
Score : 200 points

Problem Statement

You are given positive integers A and B.

Find the K-th largest positive integer that divides both A and B.

The input guarantees that there exists such a number.

Constraints

All values in input are integers.

1 \leq A, B \leq 100

The K-th largest positive integer that divides both A and B exists.

K \geq 1

Input

Input is given from Standard Input in the following format:

A B K

Output

Print the K-th largest positive integer that divides both A and B.

Sample Input 1

8 12 2

Sample Output 1

2

Three positive integers divides both 8 and 12: 1, 2 and 4.
Among them, the second largest is 2.

Sample Input 2

100 50 4

Sample Output 2

5

Sample Input 3

1 1 1

Sample Output 3

1

Solution in C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main() {
    int A,B,K,I;
    int ans[100];
    int ansnum = 0;
    scanf("%d%d%d",&A,&B,&K);
    if (A<B) {
        I = A;
    }else if(A>B){
        I = B;
    }else if(A==B){
        printf("%d",A);
        return 0;
    }
    
    for (int r = 1; I>=r; r++) {
        if((A%r== 0) && (B%r== 0)){
            ans[ansnum] = r;
           ansnum++;
        }
    }
    
    printf("%d",ans[ansnum-K]);
    return 0;
}