from math import gcd
MOD = 998244353

def lcm(a, b):
    return a * b // gcd(a, b)

def solve(X, A, B):
    if A < B:
        A, B = B, A
    L = lcm(A, B)
    X %= L
    ca = (L - 1) // A - X // A
    ma = A * ((X + A - 1) // A)
    mb = B * ((X + B - 1) // B)
    # print(ma, mb, ca)
    if X == 0:
        return 1
    elif ma == mb:
        return 2
    elif ma == X:
        return 2 * ca + 3
    elif mb == X:
        return 2 * ca + 2
    elif ma < mb:
        return 2 * ca + 2
    else:
        return 2 * ca + 3

    

T = int(input())
for _ in range(T):
    X, A, B = map(int, input().split())
    print(solve(X, A, B))