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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using intl = long long;
using ld = long double;
using namespace std;
#define rep(i, n) for(intl i = 0; i < (intl)(n); i++)
#define repd(i, n) for(intl i = (intl)(n); i >= 0; i--)
#define repi(i, a, b) for(intl i = (intl)(a); i < (intl)(b); i++)
#define repid(i, a, b) for(intl i = (intl)(a); i >= (intl)(b); i--)
#define max(a, b) ((a) > (b) ? (a) : (b))
#define min(a, b) ((a) < (b) ? (a) : (b))
#define all(x) (x).begin,(x).end()
#define m0(x) memset(x,0,sizeof(x))
#define m1(x) memset(x,1,sizeof(x))
#define fill(x,y) memset(x,y,sizeof(x))
#define alength(a) (sizeof(a) / sizeof(a[0]))
#define cin(i, a) rep(i, alength(a))cin >> a[i]
#define ccin(i, j, a) rep(i, alength(a))rep(j, alength(a[i]))cin >> a[i][j]
#define debug(x) cout << #x << ":" << x << endl
#define rdebug(i,x) rep(i, alength(x))cout << #x << "[" << i << "]:" << x[i] << endl
#define sqrt sqrtl
#define int intl
#define itn intl
#define double ld
#define pb push_back
#define mp make_pair
const intl INF = 1e9;
const intl MOD = 1e9+7;
const ld eps = 1.0e-14;//-9
void fp(bool flag){
    if(flag)cout << "Yes" << endl;
    else cout << "No" << endl;
}
void fp(bool flag, string s, string t){
    if(flag)cout << s << endl;
    else cout << t << endl;
}
intl kai(intl k){
    intl a = 1;
    for(int i = 2; i <= k; i++){
        a *= i;
    }
    return a;
}
intl gcd(intl a, intl b){
    if(!b)return a;
    return gcd(b, a % b);
}
intl digit10(intl a){
    if(!a)return 1;
    intl b = 0;
    while(a){
        a /= 10;
        b++;
    }
    return b;
}
signed main(){
    cout << fixed << setprecision(10);
    intl a,b,c,d;
    cin >> a >> b >> c;
    bool f = false;
    repi(i,1,10000){
        if((!(i % a)) && (i % b == c))f = true;
    }
    fp(f,"YES","NO");
    return 0;
}