/**
 *   @FileName	a.cpp
 *   @Author	kanpurin
 *   @Created	2020.05.23 20:01:47
**/

#include "bits/stdc++.h" 
using namespace std; 
typedef long long ll;

//gcd
template<typename T>
T gcd(T a, T b) {
    return b ? gcd(b, a%b) : a;
}
int main() {
    ll a,b,t;cin >> a >> b >> t;
    constexpr long long LLINF = 1e18 + 1;
    if (t % a == 0 || t % b == 0) {
        cout << t << endl;
    }
    else if (a * b >= t) {
        ll ans = LLINF;
        for (int i = 0; i <= (t+b-1)/b; i++) {
            ans = min(ans,b * i + a * max(0LL,(t-b*i+a-1)/a));
        }
        cout << ans << endl;
    }
    else {
        int g = gcd(a,b);
        cout << (t + g - 1) / g * g << endl;
    }
    return 0;
}