#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
constexpr int MOD = 998244353;

namespace fast {
    // fast I/O by rsk0315 (update: 2019-08-08 07:02:47).
    // This version supports only integer inputs/outputs, single character
    // outputs, and string literal outputs.
    static size_t constexpr buf_size = 1 << 17;
    static size_t constexpr margin = 1;
    static char inbuf[buf_size + margin] = {};
    static char outbuf[buf_size + margin] = {};
    static __attribute__((aligned(8))) char minibuf[32];
    static size_t constexpr int_digits = 20;  // 18446744073709551615
    static uintmax_t constexpr digit_mask = 0x3030303030303030;
    static uintmax_t constexpr first_mask = 0x00FF00FF00FF00FF;
    static uintmax_t constexpr second_mask = 0x0000FFFF0000FFFF;
    static uintmax_t constexpr third_mask = 0x00000000FFFFFFFF;
    static uintmax_t constexpr tenpow[] = {
            1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000
    };
    template <typename Tp>
    using enable_if_integral = std::enable_if<std::is_integral<Tp>::value, Tp>;
 
    class scanner {
        char* pos = inbuf;
        char* endpos = inbuf + buf_size;
 
        void M_read_from_stdin() {
            endpos = inbuf + fread(pos, 1, buf_size, stdin);
        }
        void M_reread_from_stdin() {
            ptrdiff_t len = endpos - pos;
            if (!(inbuf + len <= pos)) return;
            memcpy(inbuf, pos, len);
            char* tmp = inbuf + len;
            endpos = tmp + fread(tmp, 1, buf_size-len, stdin);
            *endpos = 0;
            pos = inbuf;
        }
 
    public:
        scanner() { M_read_from_stdin(); }
 
        template <typename Integral,
                typename enable_if_integral<Integral>::type* = nullptr>
        void scan_parallel(Integral& x) {
            // See https://qiita.com/rsk0315_h4x/items/17a9cb12e0de5fd918f4
            if (__builtin_expect(endpos <= pos + int_digits, 0))
                M_reread_from_stdin();
            bool ends = false;
            typename std::make_unsigned<Integral>::type y = 0;
            bool neg = false;
            if (std::is_signed<Integral>::value && *pos == '-') {
                neg = true;
                ++pos;
            }
            do {
                memcpy(minibuf, pos, 8);
                long c = *(long*)minibuf;
                long d = (c & digit_mask) ^ digit_mask;
                int skip = 8;
                int shift = 8;
                if (d) {
                    int ctz = __builtin_ctzl(d);
                    if (ctz == 4) break;
                    c &= (1L << (ctz-5)) - 1;
                    int discarded = (68-ctz) / 8;
                    shift -= discarded;
                    c <<= discarded * 8;
                    skip -= discarded;
                    ends = true;
                }
                c |= digit_mask;
                c ^= digit_mask;
                c = ((c >> 8) + c*10) & first_mask;
                c = ((c >> 16) + c*100) & second_mask;
                c = ((c >> 32) + c*10000) & third_mask;
                y = y*tenpow[shift] + c;
                pos += skip;
            } while (!ends);
            x = (neg? -y: y);
            ++pos;
        }
 
        template <typename Integral,
                typename enable_if_integral<Integral>::type* = nullptr>
        void scan_serial(Integral& x) {
            if (__builtin_expect(endpos <= pos + int_digits, 0))
                M_reread_from_stdin();
            bool neg = false;
            if (std::is_signed<Integral>::value && *pos == '-') {
                neg = true;
                ++pos;
            }
            typename std::make_unsigned<Integral>::type y = *pos-'0';
            while (*++pos >= '0') y = 10*y + *pos-'0';
            x = (neg? -y: y);
            ++pos;
        }
 
        template <typename Integral,
                typename enable_if_integral<Integral>::type* = nullptr>
        // Use scan_parallel(x) only when x may be too large (about 10^12).
        // Otherwise, even when x <= 10^9, scan_serial(x) may be faster.
        void scan(Integral& x) { scan_serial(x); }
    };
 
    class printer {
        char* pos = outbuf;
 
        void M_flush_stdout() {
            fwrite(outbuf, 1, pos-outbuf, stdout);
            pos = outbuf;
        }
 
    public:
        printer() = default;
        ~printer() { M_flush_stdout(); }
 
        void print(char c) {
            if (__builtin_expect(pos + 1 >= outbuf + buf_size, 0)) M_flush_stdout();
            *pos++ = c;
        }
 
        template <size_t N>
        void print(char const(&s)[N]) {
            if (__builtin_expect(pos + N >= outbuf + buf_size, 0)) M_flush_stdout();
            memcpy(pos, s, N-1);
            pos += N-1;
        }
 
        template <typename Integral,
                typename enable_if_integral<Integral>::type* = nullptr>
        void print(Integral x) {
            if (__builtin_expect(pos + int_digits >= outbuf + buf_size, 0))
                M_flush_stdout();
            if (x == 0) {
                *pos++ = '0';
                return;
            }
            if (x < 0) {
                *pos++ = '-';
                if (__builtin_expect(x == std::numeric_limits<Integral>::min(), 0)) {
                    switch (sizeof x) {
                        case 2: print("32768"); return;
                        case 4: print("2147483648"); return;
                        case 8: print("9223372036854775808"); return;
                    }
                }
                x = -x;
            }
            char* mp = minibuf + sizeof minibuf;
            *--mp = x % 10 + '0';
            size_t len = 1;
            typename std::make_unsigned<Integral>::type y = x / 10;
            while (y > 0) {
                *--mp = y % 10 + '0';
                y /= 10;
                ++len;
            }
            memcpy(pos, mp, len);
            pos += len;
        }
 
        template <typename Tp>
        void println(Tp x) { print(x), print('\n'); }
    };
} // fast::

fast::scanner fastin;
fast::printer fastout;

template<int N,int pnum>
struct constexpr_w_function{
  int w[N + 1] , sieve[N + 1], prime[pnum];
  constexpr_w_function(): w() , sieve() , prime(){
    w[0] = 0; sieve[0] = sieve[1] = w[1] = 1;
    for(int i = 2; i <= N ; i++)
      w[i] = MOD - 1LL * w[MOD % i] * (MOD / i) % MOD , sieve[i] = 1;
    int idx = 0;
    for(int p = 2; p <= N; p++)
      if(sieve[p]){
        prime[idx++] = p;
        for(int k = N / p; k > 0; --k){
          sieve[k * p] = false , w[k * p] -= w[k];
          if(w[k*p] < 0) w[k*p] += MOD;    
        }
      }
  }
  const int& operator[](int i)const{return w[i];}
};

int main(){
  constexpr int M = 1000000;
  auto w = constexpr_w_function<M,78498>();
  long long N;
  int a[1000001];
  long long ans = 0;
  fastin.scan(N);
  for(long long i=0 , j; i< N; i++){
    fastin.scan(j);
    if( (a[j] += j) >= MOD) a[j] -= MOD; 
    if( (ans -= j) < 0 ) ans += MOD;
  }
  for(auto &p : w.prime)
    for(int k = M / p ; k > 0; --k)
      if( (a[k] += a[k * p]) >= MOD) a[k] -= MOD;
  for(int i = 1 ; i <= M ; i++){
    ans += 1LL * a[i] * a[i] % MOD * w[i] % MOD;
  }
  ans %= MOD;
  if(ans & 1) ans = (ans + MOD) >> 1;
  else ans = ans >> 1;
  fastout.println(ans);
}


Measured memory_bytes: 12416