#include<bits/stdc++.h> using namespace std; #include<atcoder/all> using namespace atcoder; using mint=atcoder::modint998244353; #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #define int long long template<long long mod,long long MAX_N> struct factional_prime{ long long inv_[MAX_N+1]; long long fac_[MAX_N+1]; long long fac_inv_[MAX_N+1]; factional_prime(){ inv_[0]=0;inv_[1]=fac_[0]=fac_[1]=fac_inv_[0]=fac_inv_[1]=1; for(long long i=2;i<=MAX_N;i++){ inv_[i]=((mod-mod/i)*inv_[mod%i])%mod; fac_[i]=(fac_[i-1]*i)%mod; fac_inv_[i]=(fac_inv_[i-1]*inv_[i])%mod; } } long long inv(long long n){ if(n<0)return 0; return inv_[n]; } long long fac(long long n){ if(n<0)return 0; return fac_[n]; } long long finv(long long n){ if(n<0)return 0; return fac_inv_[n]; } long long nCr(long long n,long long r){ if(n<r||n<0||r<0)return 0; return ((fac_[n]*fac_inv_[n-r])%mod*fac_inv_[r])%mod; } long long nPr(long long n,long long r){ if(n<r||n<0||r<0)return 0; return (fac_[n]*fac_inv_[n-r])%mod; } }; factional_prime<998244353,5000000> fp; signed main(){ int N,M,K;cin>>N>>M>>K; vector<int> A(M);for(auto&&e:A)cin>>e; vector<int> cnt(N+1); for(auto&&e:A){ if(e<=N){ cnt[e]++; } } for(int i=N;i>=1;i--){ for(int j=2*i;j<=N;j+=i){ cnt[j]+=cnt[i]; } } mint ans=0; for(int i=1;i<=N;i++){ ans+=1-mint(M-cnt[i]).pow(K)/mint(M).pow(K); } cout<<ans.val()<<endl; }