#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll A, B, T;
    cin >> A >> B >> T;
    if (A > B) {
        swap(A, B);
    }
    if (A == 1) {
        cout << T << endl;
return 0;
    }
    const ll g = gcd(A, B);
    T = (T + g - 1) / g;
    A /= g;
    B /= g;
    if (T > A * B - A - B) {
        cout << T * g << endl;
    } else {
        ll mini = 1LL << 60;
        for (ll b = 0; b <= A; b++) {
            const ll rest = T - B * b;
            if (rest <= 0) {
                mini = min(mini, B * b);
            } else {
                mini = min(mini, B * b + (rest + A - 1) / A * A);
            }
        }
        cout << mini * g << endl;
    }
    return 0;
}