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 namespace std;

template<typename T> istream& operator>>(istream &s, vector<T> &v) {
    for (T &t : v) s >> t;
    return s;
}
template<typename T> ostream& operator<<(ostream &s, const vector<T> &v) {
    for (const T &t : v) s << t << endl;
    return s;
}
template<typename T> T min(const vector<T>& v) {return *min_element(v.begin(), v.end());}
template<typename T> T max(const vector<T>& v) {return *max_element(v.begin(), v.end());}
template<typename T> int min_element(vector<T>& v) {return min_element(v.begin(), v.end()) - v.begin();}
template<typename T> int max_element(vector<T>& v) {return max_element(v.begin(), v.end()) - v.begin();}
template<typename T> void sort(vector<T>& v) {sort(v.begin(), v.end());}
template<typename T> void greatersort(vector<T>& v) {sort(v.begin(), v.end(), greater<>());}
template<typename T, typename Function> void sort(vector<T>& v, Function func) {sort(v.begin(), v.end(), func);}
template<typename T> void rsort(vector<T>& v) {sort(v.rbegin(), v.rend());}
template<typename T> void reverse(vector<T>& v) {reverse(v.begin(), v.end());}
template<typename T> void unique(vector<T>& v) {v.erase(unique(v.begin(), v.end()), v.end());}
template<typename T> void nth_element(vector<T>& v, int n) {nth_element(v.begin(), v.begin() + n, v.end());}
template<typename T> bool next_permutation(vector<T>& v) {return next_permutation(v.begin(), v.end());}
template<typename T> int find(vector<T>& v, T t) {return find(v.begin(), v.end(), t) - v.begin();}
template<typename T> int in(vector<T> v, T t) {return find(v, t) != int(v.size());}
template<typename T> int lower_bound(vector<T>& v, T t) {return lower_bound(v.begin(), v.end(), t) - v.begin();}
template<typename T> int upper_bound(vector<T>& v, T t) {return upper_bound(v.begin(), v.end(), t) - v.begin();}
template<typename T> T accumulate(const vector<T>& v, function<T(T, T)> func = plus<T>()) {return accumulate(v.begin(), v.end(), T(), func);}
template<typename T> void adjacent_difference(vector<T>& v) {adjacent_difference(v.begin(), v.end(), v.begin());}
template<typename T> void adjacent_difference(vector<T>& v, vector<T>& u) {adjacent_difference(v.begin(), v.end(), u.begin());}
template<typename T> vector<T> partial_sum(const vector<T>& v) {
    vector<T> u(v.size());
    partial_sum(v.begin(), v.end(), u.begin());
    return u;
}\
template<typename T> T inner_product(vector<T>& v, vector<T>& u) {return inner_product(v.begin(), v.end(), u.begin(), T(0));}
template<typename T> int count(const vector<T>& v, T t) {return count(v.begin(), v.end(), t);}
template<typename T, typename Function> int count_if(const vector<T>& v, Function func) {return count_if(v.begin(), v.end(), func);}
template<typename T, typename Function> void remove_if(vector<T>& v, Function func) {v.erase(remove_if(v.begin(), v.end(), func), v.end());}
template<typename T, typename Function> bool all_of(vector<T> v, Function func) {return all_of(v.begin(), v.end(), func);}
template<typename T, typename Function> bool any_of(vector<T> v, Function func) {return any_of(v.begin(), v.end(), func);}
template<typename T, typename Function> bool none_of(vector<T> v, Function func) {return none_of(v.begin(), v.end(), func);}
template<typename T> vector<T> subvector(vector<T>& v, int a, int b) {return vector<T>(v.begin() + a, v.begin() + b);}
template<typename T> int kinds(const vector<T>& v) {return set<T>(v.begin(), v.end()).size();}
template<typename T> map<T, int> count_kinds(const vector<T>& v) {
    map<T, int> res;
    for (const auto& i : v) ++res[i];
    return res;
}
template<typename T> void iota(vector<T>& v, T t = 0) {iota(v.begin(), v.end(), t);}
template<typename T> bool is_sorted(const vector<T>& v) {return is_sorted(v.begin(), v.end());}
int plusVector(vector<int>& v, int n) {int r = 0; for (int i = 0; i < n; ++i) {r += v[i];} return r;}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int A, B, C;
    cin >> A >> B >> C;
    for (int i = 1; i <= B; ++i) {
        if ((A * i) % B == C) {
            cout << "YES" << endl;
            return 0;
        }
    }
    cout << "NO" << endl;
}