#define _USE_MATH_DEFINES
#include <algorithm>
#include <cstdio>
#include <functional>
#include <iostream>
#include <cfloat>
#include <climits>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <time.h>
#include <vector>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> i_i;
typedef pair<ll, int> ll_i;
typedef pair<double, int> d_i;
typedef pair<ll, ll> ll_ll;
typedef pair<double, double> d_d;
struct edge { int u, v; ll w; };

ll MOD = 1000000007;
ll _MOD = 1000000009;
double EPS = 1e-10;

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

int main() {
	ll A, B, T;
	cin >> A >> B >> T;
	ll d = gcd(A, B);
	T = (T + d - 1) / d * d;
	if (A < B) swap(A, B);
	ll mini = INT_MAX;
	for (ll a = 0; a <= T * 2; a += A) {
		ll x = a + (T - a + B - 1) / B * B;
		if (x == T) {
			cout << T << endl;
			return 0;
		}
		mini = min(mini, x);
	}
	cout << mini << endl;
}