#include using namespace std; #include using namespace atcoder; #define rep(i, n) for(int i=0;i<(n);++i) #define rep1(i, n) for(int i=1;i<=(n);i++) #define ll long long using mint = modint998244353; using P = pair; using lb = long double; using T = tuple; #ifdef LOCAL # include # define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define dbg(...) (static_cast(0)) #endif int main() { int t; cin >> t; rep(_,t){ ll a, b, k; cin >> a >> b >> k; ll low = 0; ll high = 8e18; while(high-low>1){ ll mid = (high+low)/2; ll ans = mid/a + mid/b - mid/lcm(a,b); ans = mid - ans; if(ans>=k) high = mid; else low = mid; } cout << high << endl; } return 0; }