/** author: shobonvip created: 2024.10.25 22:20:13 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int n, m; cin >> n >> m; vector d(n); rep(i,0,n){ cin >> d[i]; } vector nxt(n); vector cnt(n); rep(i,0,n) nxt[i] = d[i]; vector e(n); mint alls = 1; rep(i,0,n){ alls *= mint(m / d[i]); e[i] = mint(m / d[i]).inv(); } mint ans = 0; rep(i,1,m+1){ mint tmp = 0; rep(j,0,n){ ans += tmp * cnt[j] * e[j]; if (nxt[j] == i) { tmp += e[j] * alls; nxt[j] += d[j]; cnt[j] += 1; } } } cout << ans.val() << '\n'; }