#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; #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; } //約数列挙 vector DivisorEnumeration(long long n) { vector x; for (long long i = 1; i*i <= n; i++) { if (0 == n % i) { x.push_back(i); if (n != i * i) x.push_back(n / i); } } sort(all(x)); return x; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vectora(n); rep(i, n)cin >> a[i]; int l = 1; rep(i, n)l = lcm(l, a[i]); auto d = DivisorEnumeration(l); vectorc(d.size()); rep(i, c.size())c[i] = l / d[i]; mint ans = 0; rrep(i, d.size()) { mint tmp = c[i]; rep(j, n) tmp *= pow_mod(m, gcd(d[i],a[j]), mod); ans += tmp; rep(j, i) if (0 == d[i] % d[j]) c[j] -= c[i]; } ans /= l; cout << ans.val() << endl; return 0; }