#include <bits/stdc++.h>

using namespace std;

namespace {

    typedef double real;
    typedef long long ll;

    template<class T> ostream& operator<<(ostream& os, const vector<T>& vs) {
        if (vs.empty()) return os << "[]";
        auto i = vs.begin();
        os << "[" << *i;
        for (++i; i != vs.end(); ++i) os << " " << *i;
        return os << "]";
    }
    template<class T> istream& operator>>(istream& is, vector<T>& vs) {
        for (auto it = vs.begin(); it != vs.end(); it++) is >> *it;
        return is;
    }

    ll A, B, T;
    void input() {
        cin >> A >> B >> T;
    }

    ll gcd(ll a, ll b) {
        if (a > b) swap(a, b);
        if (b % a == 0) return b;
        return gcd(b % a, a);
    }
    ll lcm(ll a, ll b) {
        ll g = gcd(a, b);
        return a / g * b;
    }

    const ll INF = 1LL<<56;

    ll calc(ll R, ll x) {
        if (R <= 0) return 0;
        if (R % x == 0) return R;
        ll y = x - R % x;
        return R + y;
    }

    void solve() {
        if (A < B) swap(A, B);
        ll L = lcm(A, B);
        ll ans = INF;
        for (ll i = 0; i * A <= L && i * A <= T; i++) {
            ans = min(ans, i * A + calc(T - i * A, B));
        }
        cout << ans << endl;
    }
}

int main() {
    input(); solve();
    return 0;
}