#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using vi = vector<i64>;
using vvi = vector<vi>;

int main() { 
    i64 a, b, t;
    cin >> a >> b >> t;

    i64 g = __gcd(a, b);
    i64 l = a / g * b;
    if (l <= t) {
        cout << l + (t - l + (g - 1)) / g * g << endl;
        return 0;
    }

    i64 ans = 1e18;
    for (int i = 0; i <= (t + b - 1) / b; i++) {
        i64 bcost = b * i;
        i64 rem = t - bcost;
        if (rem < 0) {
            ans = min(ans, bcost);
        } else {
            i64 acost = (rem + a - 1) / a * a;
            ans = min(ans, acost + bcost);
        }
    }
    cout << ans << endl;
}