from math import gcd import sys input = sys.stdin.readline def divisor(n): divisors = [] i = 1 while i * i < n: if n % i == 0: divisors.append(i) divisors.append(n // i) i += 1 if i * i == n: divisors.append(i) divisors.sort() return divisors mod = 998244353 N, M = map(int, input().split()) A = list(map(int, input().split())) lcm = 1 for x in A: lcm = lcm // gcd(lcm, x) * x div = divisor(lcm) val = [0] * len(div) for i, d in enumerate(div): s = sum(map(lambda a: gcd(a, d), A)) val[i] = pow(M, s, mod) for i in range(len(div)): for j in range(i): if div[i] % div[j] == 0: val[i] = (val[i] - val[j]) % mod ans = 0 for i, d in enumerate(div): ans = (ans + val[i] * pow(d, mod-2, mod)) % mod print(ans)