#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint1000000007; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } ll my_gcd(ll a, ll b) { ll ret = 0; if (a < b) { swap(a, b); } if (b == 0) { ret = a; } else { ret = my_gcd(b, a % b); } return ret; } int main() { ll N, K; cin >> N >> K; vector A(N); rep(i, N){ cin >> A[i]; } // 約数のうちの最大のものだけを使って // これは gcd(K, now * A[i]) を考えればよい // これの計算のときのオーバーフローを回避したい→ A[i] を gcd(K, A[i]) に置き換えてから計算しても問題ない vector divs; for (ll i = 1; i * i <= K; i++){ if (K % i != 0) continue; divs.push_back(i); if (i * i != K) divs.push_back(K / i); } ll len = divs.size(); map mp; for (ll i = 0; i < len; i++){ mp[divs[i]] = i; } vector> dp(N + 1, vector(len)); dp[0][0] = mint(1); for (ll i = 0; i < N; i++){ for (ll j = 0; j < len; j++){ dp[i + 1][j] += dp[i][j]; ll nx = my_gcd(K, divs[j] * my_gcd(K, A[i])); dp[i + 1][mp[nx]] += dp[i][j]; } } if (K == 1){ cout << (dp[N][mp[K]] - 1).val() << endl; } else{ cout << dp[N][mp[K]].val() << endl; } }