#include<cstdio>
#include<algorithm>
#include<vector>
#include<queue>
#include<string>
#include<iostream>
#include<cmath>
#include<map>
#include<set>
#include<climits>
#include<ctime>
#include<complex>
#include<sstream>
#include<cstring>
using namespace std;
typedef vector<string>vs;
typedef vector<int>vi;
typedef vector<vi>vvi;
typedef vector<double>vd;
typedef pair<int,int>pii;
typedef long long ll;
typedef pair<ll,ll>pll;
typedef vector<ll>vl;
#define rrep(i,x,n) for(int i=(x);i<(n);++i)
#define rep(i,x) rrep(i,0,(x))
#define fi first
#define se second
#define each(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i)
#define all(c) (c).begin(),(c).end()
#define rall(c) (c).rbegin(),(c).rend()
#define pb push_back
#define maxs(a,b) (a)=max(a,b)
#define mins(a,b) (a)=min(a,b)

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

int main(){
    ll A,B,T;
    scanf("%lld%lld%lld",&A,&B,&T);

    ll l=lcm(A,B),g=gcd(A,B);

    if(T>=l){
        printf("%lld\n",(T+g-1)/g*g);
        return 0;
    }
    ll mi=LLONG_MAX;
    for(int i=0;i<=T/B+1;i++){
        mi=min((max((T-i*B),0ll)+A-1)/A*A+B*i,mi);
    }
    printf("%lld\n",mi);

    return 0;
}