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

int gcd(int a,int b) {
  while (a!=0) {
    int tmp = b%a;
    b = a;
    a = tmp;
  }
  return b;
}

int kiriage(int a,int b){
  return (a-1+b)/b*b;
}

int main(){
  int a,b,t;
  cin >> a >> b >> t;

  int gcd_ab = gcd(a,b);
  
  if (t/a > b/gcd_ab) {
    // t >= lcm(a,b)
    cout << kiriage(t,gcd_ab) << endl;
  } else {
    int best = kiriage(t,b);
    for (int i=0;i*b<=t;++i){
      int x = i*b+kiriage(t-i*b,a);
      if (best > x) {
        best = x;
      }
    }
    cout << best << endl;
  }

  return 0;
}