#include <bits/stdc++.h> #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "<<x<<endl; #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define fi first #define se second #define rng(a) a.begin(),a.end() #define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++) #define sz(x) (int)(x).size() #define mp make_pair using namespace std; typedef long long ll; typedef pair<int,int> pii; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<pii> vpii; typedef set<int> si; typedef pair<ll,ll> pll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<pll> vpll; typedef set<ll> sl; typedef __int128_t lll; typedef pair<lll,lll> plll; typedef vector<lll> vlll; template<typename T>string join(vector<T>&v) {stringstream s;FOR(i,0,sz(v))s<<' '<<v[i];return s.str().substr(1);} ll gcd(ll a,ll b){if(a>b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; ll a, b, t; main(){ cin.tie(0); ios::sync_with_stdio(false); cin >> a >> b >> t; ll g = gcd(a, b); ll ans = linf; if(a * b / g <= t){ ans = ((t-1)/g+1)*g; }else{ FOR(i, 0, (t-1)/g+2) mins(ans, b*i + ((t-b*i-1)/a+1)*a); } cout << ans << endl; return 0; }