#include<bits/stdc++.h>
// #include<atcoder/all>

using namespace std;
// using namespace atcoder;
using ll = long long;
using ull = unsigned long long;
using P = pair<int,int>;
#define rep(i,n) for(ll i = 0;i < (ll)n;i++)
#define ALL(x) (x).begin(),(x).end()
#define MOD 1000000007


int main(){
  
  ll a,b,k;
  cin >> a >> b >> k;
  ll d = __gcd(a,b);
  a /= d;b /= d;
  ll res = k/(a + b - 1)*a*b;
  k %= (a + b -1);
  auto bs = [&](ll n,ll m){
    ll l = 0,r = k+1;
    while(r-l > 1){
      ll mid = (l+r)/2;
      if(mid + n*mid/m <= k)l = mid;
      else r = mid;
    }
    return (l + n*l/m == k ? n*l : -1);
  };
  ll x = bs(a,b);
  if(x >= 0)res += x;
  x = bs(b,a);
  if(x >= 0)res += x;
  cout << res << "\n";

  

  return 0;
}