#include #include using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } long long gcd(long long a, long long b) { if (b == 0) return a; else return gcd(b, a%b); } long long lcm(long long x, long long y) { return x * y / gcd(x, y); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; long long k; cin >> k; vectora(n); rep(i, n)cin >> a[i]; rep(i, n)a[i] = gcd(a[i], k); vector>v(n + 1); v[0][1] = 1; rep(i, n) { for (auto p : v[i]) { v[i + 1][p.first] += p.second; long long nx = gcd(k, a[i] * p.first); v[i + 1][nx] += p.second; } } cout << v[n][k].val() << endl; return 0; }