def gcd(a, b):
    return a if b == 0 else gcd(b, a % b)

def area(a, b, c, d):
    return abs(a * d - b * c)

def solve(D, x, y):
    g = gcd(x, y)
    grad_y = x // g
    grad_x = y // g

    l = min((D - x) // grad_x, y // grad_y)

    return area(x, y, x + grad_x * l, y - grad_y * l)

T = int(input())
for t in range(T):
    D, x, y = map(int, input().split())
    print(max(solve(D, x, y), solve(D, y, x)))