## https://yukicoder.me/problems/no/1731 import math MOD = 10 ** 9 + 7 def calc_gcd(A, B): """ 正の整数A, Bの最大公約数を計算する """ a = max(A, B) b = min(A, B) while a % b > 0: c = a % b a = b b = c return b def main(): N, K = map(int, input().split()) A = list(map(int, input().split())) if K == 1: ans = pow(2, N, MOD) ans -= 1 ans %= MOD print(ans) return # Kの素因数分解 sqrt_k = int(math.sqrt(K)) divisors = [] for p in range(1, sqrt_k + 1): if K % p == 0: q = K // p divisors.append(p) if q != p: divisors.append(q) divisors.sort() # 注目すべき素数の洗い出し # Aについてprimesで割った時のベクトルを計算 state_array = [] for a in A: z = calc_gcd(a, K) state_array.append(z) # dpによって計算していく dp = {1: 1} for state in state_array: new_dp = dp.copy() for key, value in dp.items(): # A[i]を部分列に加える new_key = calc_gcd(key * state, K) if new_key not in new_dp: new_dp[new_key] = 0 new_dp[new_key] += value new_dp[new_key] %= MOD dp = new_dp if K in dp: print(dp[K]) else: print(0) if __name__ == "__main__": main()