#include <iostream>
typedef long long ll;
using namespace std;
template <class T> void setmin(T & a, T const & b) { if (b < a) a = b; }
template <typename T> T gcd(T a, T b) { while (a) { b %= a; swap(a, b); } return b; }
template <typename T> T lcm(T a, T b) { return (a * b) / gcd(a,b); }
const ll inf = ll(1e18)+9;
int main() {
    ll a, b, t; cin >> a >> b >> t;
    ll q = t >= lcm(a, b) ? lcm(a, b) : 0;
    ll r = t % lcm(a, b);
    ll ans = inf;
    for (ll i = 0; i <= q+r; i += b) {
        setmin(ans, t-q-r + i + (q+r-i + a-1)/a*a);
    }
    cout << ans << endl;
    return 0;
}