#include <bits/stdc++.h>

#define fst(t) std::get<0>(t)
#define snd(t) std::get<1>(t)
#define thd(t) std::get<2>(t)
#define unless(p) if(!(p))
#define until(p) while(!(p))

using ll = std::int64_t;
using P = std::tuple<int,int>;

ll A, B, T;

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

int main(){
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);

    std::cin >> A >> B >> T;

    if(A < B){
        std::swap(A, B);
    }

    ll res = std::numeric_limits<ll>::max();
    ll g = gcd(A, B);

    if(T >= A * B){
        res = (T + g - 1) / g * g;
    }else{
        for(int t=0;t<=(T+A-1)/A;++t){
            res = std::min(res, A * t + std::max<ll>((T - A * t + B - 1) / B * B, 0));
        }
    }

    std::cout << res << std::endl;
}