1418A - Buying Torches

using namespace std;
using ll = long long;
using ii = pair<int, int>;
using vi = vector<int>;
inline ll ceil(ll a, ll b) { return (a + b - 1) / b; }
int main(void)
{
    int t;
    cin >> t;
    while (t--)
    {
        ll x, y, k;
        cin >> x >> y >> k;
        ll op1 = ceil(k * (y + 1) - 1, x - 1);
        ll op2 = k;
        cout << op1 + op2 << endl;
    }
    return 0;
}