#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m, k; cin >> n >> m >> k; VI cnt(n + 1); rep(_, m) { int a; cin >> a; if (a <= n) cnt[a]++; } rrep(i, n + 1) if (i) { for (int j = i + i; j <= n; j += i) cnt[j] += cnt[i]; } mint ans = n; mint minv = mint(m).inv(); rrep(i, n + 1) if (i) { ans -= (1 - cnt[i] * minv).pow(k); } cout << ans.val() << '\n'; }