def extgcd(x,y):
    if y==0: return 1,0 #g=x
    r0,r1,s0,s1 = x,y,1,0
    while r1 != 0:
        r0,r1, s0,s1 = r1,r0%r1, s1,s0-r0//r1*s1
    return r0,s0,(r0-s0*x)//y

T = int(input())
for _ in range(T):
    *abc,n = map(int,input().split())
    a,b,c = sorted(abc)
    ans = 0
    g,p,q = extgcd(a,b) #ap+bq=1
    for t in range(n,-1,-c):
        if t%g==0: ans += t*q//a - (-t*p+b-1)//b + 1
    print(ans)