#include <bits/stdc++.h>

using namespace std;

using ll =  long long;
using Pll = pair<ll, ll>;
using Pii = pair<int, int>;

constexpr ll MOD = 1000000007;
constexpr ll INF = 1LL << 60;
constexpr long double EPS = 1e-10;
constexpr int dyx[4][2] = {
    { 0, 1}, {-1, 0}, {0,-1}, {1, 0}
};

void solve() {
    ll a, b, c, ans = INF;
    cin >> a >> b >> c;

    if(c == 1) {
        cout << c * b << endl;
        return;
    }

    ll c_pow = 1LL, ci = 0LL;
    for(ci=0;c_pow<=a;++ci) {
        ll tmpans = ci, c_pow_copy = c_pow, a_copy = a;
        while(c_pow > 0LL) {
            if(a/c_pow != 0) {
                tmpans += (a/c_pow + c-2) / (c-1);
                a -= a/c_pow*c_pow;
            }
            c_pow /= c;
        }

        ans = min(ans, tmpans);
        c_pow = c_pow_copy * c;
        a = a_copy;
    }

    ans *= b;
    cout << ans << endl;
}

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int q;
    cin >> q;
    while(q--) {
        solve();
    }
}