#include <bits/stdc++.h>
using namespace std;
const int MOD = 998244353;
istream& operator >>(istream& is, __int128_t &x){
  string S;
  is >> S;
  x = 0;
  for (char c : S){
    x = x * 10 + (c - '0');
  }
  return is;
}
__int128_t gcd(__int128_t A, __int128_t B){
  if (B == 0){
    return A;
  } else {
    return gcd(B, A % B);
  }
}
__int128_t lcm(__int128_t A, __int128_t B){
  return A / gcd(A, B) * B;
}
int main(){
  int T;
  cin >> T;
  for (int i = 0; i < T; i++){
    __int128_t X, A, B;
    cin >> X >> A >> B;
    if (A == B){
      if (X % A == 0){
        cout << 1 << endl;
      } else {
        cout << 2 << endl;
      }
    } else {
      if (A > B){
        swap(A, B);
      }
      __int128_t L = lcm(A, B);
      X %= L;
      if (X == 0){
        cout << 1 << endl;
      } else {
        __int128_t cntB = (L - X) / B + 1;
        __int128_t cntA = cntB;
        if ((X + A - 1) / A * A - X < (X + B - 1) / B * B){
          cntA++;
        }
        __int128_t ans = cntA + cntB - 1;
        if (X % A != 0 && X % B != 0){
          ans++;
        }
        cout << (int) (ans % MOD) << endl;
      }
    }
  }
}