#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
#define int long long

signed main(){
  int A, B, T; cin >> A >> B >> T;
  ll lab = 1LL * A * B / __gcd( A, B );
  int r = 1LL * T / lab * lab;
  T %= lab;
  if( not ( A >= B ) )
    swap( A, B );
  int minv = ( int ) 2e9;
  for( int i = 0; i * A <= T + A - 1; ++i )
    minv = min( minv, i * A + ( T - i * A + B - 1 ) / B * B );
  cout << r + minv << endl;
  return 0;
}