import sys
input = sys.stdin.readline

from math import gcd

T=int(input())

for tests in range(T):
    D,x,y=map(int,input().split())

    GCD=gcd(x,y)

    if x==0:
        print(y*D)
        continue
    if y==0:
        print(x*D)
        continue

    x2=x//GCD
    y2=y//GCD

    # (z,w) = (x,y) + k(-y2,x2)

    # 0<=x-ky2<=D
    # 0<=y+kx2<=D

    # k<=x/y2,k<=(D-y)/x2,k>=(x-D)/y2,k>=-y/x2

    MAX=min(x//y2,(D-y)//x2)
    MIN=max((x-D+y2-1)//y2,(-y+x2-1)//x2)

    if MIN<=MAX:
        A1=abs(x*(y+MIN*x2)-y*(x-MIN*y2))
        A2=abs(x*(y+MAX*x2)-y*(x-MAX*y2))
        print(max(A1,A2))
    else:
        print(0)