import sys
readline = sys.stdin.readline

n,k = map(int,readline().split())
*a, = map(int,readline().split())

MOD = 998244353

from math import gcd
for i in range(n):
    a[i] = gcd(a[i],k)

from collections import defaultdict
d = defaultdict(int)
d[1] = 1
for ai in a:
    nd = d.copy()
    for r,v in d.items():
        nr = gcd(ai*r,k)
        nd[nr] += v
        nd[nr] %= MOD
    d = nd

print(d[k])