#include <bits/stdc++.h>
using namespace std;
void solve() {
int n, A, B;
cin >> n >> A >> B;
int ans = n;
for(int i = 0; i <=n; i++) {
int a = i;
int b = n - a;
int res = n;
while(a >= A || b >= B) {
res += a / A;
b += a / A;
a %= A;
res += b / B;
a += b / B;
b %= B;
}
ans = max(ans, res);
}
cout << ans << "\n";
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int T = 1;
cin >> T;
while (T--) solve();
}
// 64 位输出请用 printf("%lld")



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