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

ll gcd(ll a, ll b){
    if(b == 0)return a;
    return gcd(b, a % b);
}

ll lcm(ll a, ll b){
    return a / gcd(a, b) * b;
}

int main(){
    ll A, B, T;
    cin >> A >> B >> T;

    ll g = gcd(A, B);
    ll l = lcm(A, B);

    if(T >= l){
        cout << (T + g - 1) / g * g << endl;
    } else {
        ll res = (T + B - 1) / B * B;
        for(ll a=0;a<=A && a*B<=T;a++){
            ll rem = T - a * B;
            ll tmp = a * B + (rem + A - 1) / A * A;
            res = min(res, tmp);
        }
        cout << res << endl;
    }

    return 0;
}