#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using ll = long long;
#define pb emplace_back
#define X first
#define Y second
#define AI(i) begin(i), end(i)
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true);}
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true);}
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l++ << " \n"[l==r]; }
#else
#define DE(...) 0
#define debug(...) 0
#endif

const int MAX_N = 300010;
int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);

	int n, X, Y;
	cin >> X >> Y >> n;

	i64 C = lcm<i64>(X, Y);

	if (n < C) {
		cout << n / X + n / Y << '\n';
		return 0;
	}

	constexpr int INF = 1e9;

	vector<int> nxt(2, INF);

	if (gcd(X, Y) == 1) {
		for (int t : {0, 1}) {
			int x = t == 0 ? X : Y;
			int y = t == 0 ? Y : X;

			int cur = 0;
			while ((cur + 1) % x != 0) {
				cur += y;
			}
			nxt[t] = cur;
		}
	}

	vector dp(n + 1, vector<int>(2, INF));
	dp[C][0] = dp[C][1] = C / X + C / Y;

	int ans = INF;

	for (int i = 1; i <= n; i++) {
		for (int j : {0, 1}) {
			if (dp[i][j] == INF) {
				continue;
			}
			int ni = i + nxt[j];
			int tx = i - (j == 0);
			int ty = i - (j == 1);
			if (ni > n) {
				ans = min(ans, dp[i][j] + (n - tx) / X + (n - ty) / Y);
			} else {
				int cost = (ni - tx) / X + (ni - ty) / Y;
				for (auto &val : dp[ni]) {
					val = min(val, dp[i][j] + cost);
				}
			}
		}
	}

	cout << ans << '\n';
}