/** author: shobonvip created: 2024.11.16 19:38:14 **/ #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--) #define all(v) v.begin(), v.end() 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); ll n, m, k; cin >> n >> m >> k; vector a(m); vector t(n); rep(i,0,m){ cin >> a[i]; a[i] -= 1; if (a[i] < n) { t[a[i]] += 1; } } rrep(i,0,n) { for (int j=2*(i+1); j<=n; j+=i+1){ t[j-1] += t[i]; } } mint ans = 0; rep(i,0,n){ if (t[i] > 0) { ans += mint(1) - (mint(m - t[i]) / mint(m)).pow(k); } } cout << ans.val() << '\n'; }