import java.util.*;
public class Main{
static Scanner in = new Scanner(System.in);
static void solve(){
int n = in.nextInt();
int a = in.nextInt();
int b = in.nextInt();
if(a > b){
int c = a;
a = b;
b = c;
}
int ans = 0;
for(int i=0;i<=n;i++){
int nowa = i;
int nowb = n-i;
int res = n;
while(nowa >= a || nowb >= b){
res += nowa/a;
nowb += nowa/a;
nowa %= a;
res += nowb/b;
nowa += nowb/b;
nowb %= b;
}
ans = Math.max(ans,res);
}
System.out.println(ans);
}
public static void main(String[] args){
int T = in.nextInt();
while(T-- > 0) solve();
}
}