#include using namespace std; const long long MOD = 1000000007; long long gcd(long long x, long long y){ if (y == 0){ return x; } else { return gcd(y, x % y); } } int main(){ int N, K; cin >> N >> K; vector A(N); for (int i = 0; i < N; i++){ cin >> A[i]; A[i] = gcd(A[i], K); } vector f; for (int i = 1; i * i <= K; i++){ if (K % i == 0){ f.push_back(i); if (i * i < K){ f.push_back(K / i); } } } sort(f.begin(), f.end()); int M = f.size(); vector> dp(N + 1, vector(M, 0)); dp[0][0] = 1; for (int i = 0; i < N; i++){ for (int j = 0; j < M; j++){ dp[i + 1][j] += dp[i][j]; dp[i + 1][j] %= MOD; long long p = gcd(f[j] * A[i], K); int j2 = lower_bound(f.begin(), f.end(), p) - f.begin(); dp[i + 1][j2] += dp[i][j]; dp[i + 1][j2] %= MOD; } } cout << dp[N][M - 1] << endl; }