#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 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; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m, k; cin >> n >> m >> k; vectorcnt(n + 1); mapmp; rep(i, m) { int a; cin >> a; mp[a]++; } for (auto[k, v] : mp) { for (int i = k; i <= n; i += k) { cnt[i] += v; } } mint ans = 0; mint invM = mint::raw(m).inv(); rep2(i, 1, n + 1) { mint p = (m - cnt[i]) * invM; ans += (mint)1 - p.pow(k); } cout << ans.val() << endl; return 0; }