#include <bits/stdc++.h>
 
//    #include <boost/multiprecision/cpp_int.hpp>
// #define int long long
 #define inf  1000000007
 #define pa pair<int,int>
 #define ll long long
 #define pal pair<double,double>
 #define ppap pair<pa,int>
  #define PI 3.14159265358979323846
  #define paa pair<int,char>
  #define  mp make_pair
  #define  pb push_back
  #define EPS (1e-8)
                                          
    int dx[8]={0,1,0,-1,1,1,-1,-1};
    int dy[8]={1,0,-1,0,-1,1,1,-1};
                                            using namespace std;
                                   			class pa3{
                                            	public:
                                            	int x;
                                   				int y,z;
                                            	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                            	bool operator < (const pa3 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		 return z<p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                   				bool operator > (const pa3 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		 return z>p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa3 &p) const{
                                            		return x==p.x && y==p.y && z==p.z;
                                            	}
                                            		bool operator != (const pa3 &p) const{
                                            			return !( x==p.x && y==p.y && z==p.z);
                                            	}
                                            
                                            };
                                            
                                            class pa4{
                                            	public:
                                            	int x;
                                            	int y,z,w;
                                            	pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                            	bool operator < (const pa4 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		if(z!=p.z)return z<p.z;
                                            		return w<p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator > (const pa4 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		if(z!=p.z)return z>p.z;
                                            		return w>p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa4 &p) const{
                                            		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                            	}
                                            		
                                            
                                            };
                                            class pa2{
                                            	public:
                                            	int x,y;
                                            	pa2(int x=0,int y=0):x(x),y(y) {}
                                            	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                            	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                            	bool operator < (const pa2 &p) const{
                                            		return y != p.y ? y<p.y: x<p.x;
                                            	}
                                            	bool operator > (const pa2 &p) const{
                                            		return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa2 &p) const{
                                            		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                            	}
                                            	bool operator != (const pa2 &p) const{
                                            		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                            	}
                                            		
                                            
                                            };
                                            
 
                      
                                string itos( int i ) {
                                ostringstream s ;
                                s << i ;
                                return s.str() ;
                                }
                                 
                                int gcd(int v,int b){
                                	if(v>b) return gcd(b,v);
                                	if(v==b) return b;
                                	if(b%v==0) return v;
                                	return gcd(v,b%v);
                                }
                 
                            
                                int mod;
int extgcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    int d = extgcd(b, a%b, y, x);
    y -= a/b * x;
    return d;
}
pa operator+(const pa & l,const pa & r) {   
    return {l.first+r.first,l.second+r.second};                                    
}    
pa operator-(const pa & l,const pa & r) {   
    return {l.first-r.first,l.second-r.second};                                    
}  
                                
                int pr[1000010];
                int inv[1000010];
                
                int beki(int wa,int rr,int warukazu){
                	if(rr==0) return 1%warukazu;
                	if(rr==1) return wa%warukazu;
                	wa%=warukazu;
                	if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;
                	int zx=beki(wa,rr/2,warukazu);
                	return ((ll)zx*zx)%warukazu;
                }
 
                
    			int comb(int nn,int rr){
    				if(rr<0 || rr>nn || nn<0) return 0;
    				int r=pr[nn]*inv[rr];
    				r%=mod;
    				r*=inv[nn-rr];
    				r%=mod;
    				return r;
    			}
               
                void gya(int ert){
                	pr[0]=1;
                	for(int i=1;i<=ert;i++){
                		pr[i]=(pr[i-1]*i)%mod;
                	}
                		inv[ert]=beki(pr[ert],mod-2,mod);
                	for(int i=ert-1;i>=0;i--){
                		inv[i]=inv[i+1]*(i+1)%mod;
                	}
                }
                
              //   cin.tie(0);
    		//	ios::sync_with_stdio(false);
    			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
                 //sort(ve.begin(),ve.end(),greater<int>());
 //   mt19937(clock_per_sec);
  //  mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;
      
       
       
                               //----------------kokomade tenpure------------
 


int d1[1000010]={},d2[1000010]={};

void bunkai(int x){
	
	int de=(ll)x*x%mod;
	
	for(int i=1;i*i<=x;i++)if(x%i==0){
		if(i*i==x){
			d1[i]+=x;
			d2[i]+=de;
			d1[i]%=mod;
			d2[i]%=mod;
		}
		else{

			d1[i]+=x;
			d2[i]+=de;
			d1[x/i]+=x;
			d2[x/i]+=de;

			d1[i]%=mod;
			d2[i]%=mod;
			d1[x/i]%=mod;
			d2[x/i]%=mod;

		}
	}
	
}

int kei[1000200]={};




vector<int> mebi(1000100,1);

int hai[1000010]={};

vector<int> pos,neg;

void make_me(){

	for(int i=2;i<=1000000;i++){
		if(hai[i]==0){
			for(int j=i;j<=1000000;j+=i)hai[j]=1;
		
			for(int ii=i;ii<=1000000;ii+=i){
				mebi[ii]*=-1;
				if(ii%(i*i)==0)mebi[ii]=0;
			}
		
			
		}
	}
	for(int i=2;i<=1000000;i++)if(mebi[i]!=0){
		if(mebi[i]==1) pos.pb(i);
		else neg.pb(i);
	}

	
}


 signed main(){
 	
 
   cin.tie(0);
	ios::sync_with_stdio(false);

	int n;
 	cin>>n;
 	mod=998244353;
 	for(int i=0;i<n;i++){
 		int y;
 		cin>>y;
 		
 		bunkai(y);
 	}
 
 	
 	int ans=0;
 	for(int i=1;i<=1000000;i++)kei[i]=0;
 	int ni=beki(2,mod-2,mod);
 //	cout<<ni<<endl;
 	make_me();
 
 	for(int i=1000000;i>=1;i--)if(d1[i]>0 || d2[i]>0){
 		
 		int wa=d1[i];
 		int ji=d2[i];
 		wa= (ll)wa*wa%mod;
 		
 		wa+=mod-ji;
 		wa%=mod;
 		wa=(ll)wa*ni%mod;
 		
 		
 		int ima=wa;
 		kei[i]=wa;
 		for(auto v:pos){
 			if(v*i>1000000)break;
 			wa+=kei[v*i];
 			wa%=mod;
 		}
 		for(auto v:neg){
 			if(v*i>1000000)break;
 			wa+=mod-kei[v*i];
 			wa%=mod;
 		}
 		
 		
 	wa=(ll)wa*beki(i,mod-2,mod)%mod;
 	
 		
 		ans+=wa;
 		ans%=mod;
 		continue;
 	}	
 	/*
 		kei[i]%=mod;
 		wa+=mod-kei[i];
 	
 		wa%=mod;
 		for(auto v:hoge[i]){
 			kei[v]+=wa;
 			
 		}
 	*/	
 		
 	
 	cout<<ans<<endl;
 	
return 0;
 
 }
 

Measured memory_bytes: 23756