#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(ll i=0;i<n;i++)
#define repl(i,l,r) for(ll i=(l);i<(r);i++)
#define per(i,n) for(ll i=(n)-1;i>=0;i--)
#define perl(i,r,l) for(ll i=(r)-1;i>=l;i--)
#define fi first
#define se second
#define pb push_back
#define ins insert
#define pqueue(x) priority_queue<x,vector<x>,greater<x>>
#define all(x) (x).begin(),(x).end()
#define CST(x) cout<<fixed<<setprecision(x)
#define rev(x) reverse(x);
using ll=long long;
using vl=vector<ll>;
using vvl=vector<vector<ll>>;
using pl=pair<ll,ll>;
using vpl=vector<pl>;
using vvpl=vector<vpl>;
const ll MOD=1000000007;
const ll MOD9=998244353;
const int inf=1e9+10;
const ll INF=4e18;
const ll dy[9]={1,0,-1,0,1,1,-1,-1,0};
const ll dx[9]={0,-1,0,1,1,-1,1,-1,0};
template<class T> inline bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
int main(){
    ll a,b;cin >> a >> b;
    ll t;cin >> t;
    if(b>=100){
        ll ans=INF;
        rep(i,10000100){
            ll x=b*i;
            ll p=t-x;
            ll ret=(p+a-1)/a*a;
            if(p<0)ret=0;
            chmin(ans,ret+x);
        }
        cout << ans <<endl;
    }
    else{
        ll g=gcd(a,b);
        ll up=(a/g-1)*(b/g-1)*g*g;//up+gnは作れる
        if(up<=t){
            cout << (t+g-1)/g*g <<endl;return 0;
        }
        ll ans=INF;
        rep(i,10000100){
            ll x=b*i;
            ll p=t-x;
            ll ret=(p+a-1)/a*a;
            if(p<0)ret=0;
            chmin(ans,ret+x);
        }
        cout << ans <<endl;
    }
}