Problem:
Score : 200 points

Problem Statement

We ask you to select some number of positive integers, and calculate the sum of them.

It is allowed to select as many integers as you like, and as large integers as you wish.
You have to follow these, however: each selected integer needs to be a multiple of A, and you need to select at least one integer.

Your objective is to make the sum congruent to C modulo B.
Determine whether this is possible.

If the objective is achievable, print YES. Otherwise, print NO.

Constraints

1 ≤ A ≤ 100

1 ≤ B ≤ 100

0 ≤ C < B

Input

Input is given from Standard Input in the following format:

A B C

Output

Print YES or NO.

Sample Input 1

7 5 1

Sample Output 1

YES

For example, if you select 7 and 14, the sum 21 is congruent to 1 modulo 5.

Sample Input 2

2 2 1

Sample Output 2

NO

The sum of even numbers, no matter how many, is never odd.

Sample Input 3

1 100 97

Sample Output 3

YES

You can select 97, since you may select multiples of 1, that is, all integers.

Sample Input 4

40 98 58

Sample Output 4

YES

Sample Input 5

77 42 36

Sample Output 5

NO

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define rep(i,n); for(int i = 0;i < (n);i++)
using namespace std;
typedef long long ll;
typedef pair<int,int> P;
typedef tuple<int,int,int> state;
long double pi = acos(-1);
const int INF = 1001001001;


// 最小公倍数を求める
int euqlid (int a, int b){
  int temp;
  temp = a % b;
  if(temp == 0)return b;
  return euqlid(b,temp);
}
ll conbination(ll a,ll b){
  ll u = 1;
  ll d = 1;
  while(b != 0){
    u *= a;
    d *= b;
    a--;
    b--;
  }
  return u / d;
}
int strtoint(char s){
  return (int(s-'0'));
}
char changeS(char alpha){
  if(0x41 <= alpha and alpha <= 0x5A)return (alpha + 0x20);
  else if(0x61 <= alpha and alpha <= 0x7A)return (alpha - 0x20);
  return alpha;
}
int fact(int n){
  if(n == 1)return 1;
  return n * fact(n-1);
  }
int ceil(int a,int b){
  // a/bの切り上げを考える
  return (a+b-1)/b;
}


int main(){ 
  int a, b, c;
  cin >> a >> b >> c;
  cout << ((a % b == c)?"YES":"NO") << endl;
}