#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i, n, s) for(int i = (s); i < int(n); i++) #define per(i, n, s) for(int i = (n - 1); i >= int(s); i--) #define MM << " " << #define all(x) x.begin(), x.end() #define rall(x) rbegin(x), rend(x) template using MinHeap = std::priority_queue, std::greater>; template using MaxHeap = std::priority_queue; using ll = long long; using Pii = std::pair; using Pll = std::pair; using Pdd = std::pair; template bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } else { return false; } } template bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } else { return false; } } template void vdeb(const std::vector &da) { auto n = da.size(); for (size_t i = 0; i < n; i++) { if (i == n - 1) std::cout << da[i]; else std::cout << da[i] << " "; } std::cout << std::endl; } template void vdeb(const std::vector> &da) { auto n = da.size(); for (size_t i = 0; i < n; i++) { std::cout << i << " : "; vdeb(da[i]); } std::cout << std::endl; } template <> void vdeb(const std::vector &da) { auto n = da.size(); for (size_t i = 0; i < n; i++) { std::cout << da[i] << std::endl; } } using namespace std; struct modint { long long num; const static long long p = 1000000007; constexpr static long long pow(long long n, long long k) {//n^k(mod p) long long ret = 1; while(k) { if(k&1) ret = ret * n % p; n = n * n % p; k >>= 1; } return ret; } // a*A + b*B = 1 constexpr static void euclid(long long &a, long long &b) { // a>=b A*b+B*(a-a/b*b)=1 if (a == 1) { a = 1; } else { long long A = b, B = a % b; euclid(A, B); b = (A - (p + a / b) % p * B % p + p) % p; a = B; } } constexpr static long long rev(const long long n) {// n*x-p*y=1 //long long q = p; //euclid(p, n, p); //return n % q; return pow(n,p-2); } constexpr modint() : num(0) {} constexpr modint(long long x) : num(x%p < 0 ? x%p+p : x%p) {} constexpr modint inv() const {return rev(num);} modint operator-() const {return modint(p-num);} modint& operator+=(const modint &other){ num = (num + other.num) % p; return *this; } modint& operator-=(const modint &other){ num = (num - other.num + p) % p; return *this; } modint& operator*=(const modint &other){ num = (num * other.num) % p; return *this; } modint& operator/=(const modint &other){ (*this) *= other.inv(); return *this; } modint& operator+=(const long long &other){ num = (num + other) % p; return *this; } modint& operator-=(const long long &other){ num = (num - other + p) % p; return *this; } modint& operator*=(const long long &other){ num = (num * other) % p; return *this; } modint& operator/=(const long long &other){ (*this) *= rev(other); return *this; } modint& operator++(){return *this += 1;} modint& operator--(){return *this -= 1;} modint& operator=(const long long &other){return (*this) = modint(other);} modint operator+(const modint &other) const{return modint(*this) += other;} modint operator-(const modint &other) const{return modint(*this) -= other;} modint operator*(const modint &other) const{return modint(*this) *= other;} modint operator/(const modint &other) const{return modint(*this) /= other;} modint operator+(const long long &other) const{return modint(*this) += other;} modint operator-(const long long &other) const{return modint(*this) -= other;} modint operator*(const long long &other) const{return modint(*this) *= other;} modint operator/(const long long &other) const{return modint(*this) /= other;} bool operator==(const modint &other) const{return num == other.num;} }; std::istream& operator>>(std::istream &is, modint x) { is >> x.num; return is; } std::ostream& operator<<(std::ostream &os, const modint &x){ os << x.num; return os; } int main() { ll n, k; cin >> n >> k; vector da(n); rep(i,n,0) cin >> da[i]; map mp; mp[k] = 1; rep(j,n,0) { map nxt; for(auto &i : mp) { auto g = gcd(i.first, da[j]); nxt[i.first] += i.second; nxt[i.first / g] += i.second; } swap(mp, nxt); } cout << mp[1] << endl; }