#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)n;++i)
#define each(a,b) for(auto (a): (b))
#define all(v) (v).begin(),(v).end()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define svec(v) cout<<#v<<":";rep(kbrni,v.size())cout<<" "<<v[kbrni];cout<<endl
#define sset(s) cout<<#s<<":";each(kbrni,s)cout<<" "<<kbrni;cout<<endl
#define smap(m) cout<<#m<<":";each(kbrni,m)cout<<" {"<<kbrni.first<<":"<<kbrni.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int>P;

const int MAX_N = 100005;

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

ll lcm(ll a,ll b)
{
    return  a / gcd(a,b) * b;
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll a,b,p,q,t;
    cin >> p >> q >> t;
    a = max(p,q),b = min(p,q);
    ll l = lcm(a,b);
    t %= l;
    ll ans = (1LL << 60);
    for(ll i=0;a*(i-1)<t;i++){
        ll hoge = t - i*a;
        ll cnt = (hoge + b - 1) / b;
        ans = min(ans,i*a + cnt*b);
    }
    cout << ans << endl;
    return 0;
}