思路:

代码:
#define _CRT_SECURE_NO_WARNINGS
 #include<iostream>
 #include<cstdio>
 #include<cstring>
 #include<cmath>
 using namespace std;
 const double eps = 1e-8;
 const int N = 1e7+10;
 const long long  mod = 20101009;
 #define LL long long 
 int pre[N],st[N];
 int n,cn,m;
 LL mu[N];
 LL g(int l, int k)
 {
     return (LL)k / (k / l);
 }
 void into()
 {
     mu[1] = 1;
     for (int i = 2; i <= N; i++)
     {
         if (!st[i]) pre[++cn] = i, mu[i] = -1;
         for (int j = 1; pre[j] * i <= N&&j<=cn; j++)
         {
             st[pre[j] * i] = 1;
             if (i % pre[j] == 0) break;
             mu[i*pre[j]] = -mu[i];
         }
     }
     for (int i = 1; i <= N; i++)
         mu[i] = ((LL)mu[i]*i%mod*i%mod+mu[i - 1])%mod;
 }
 LL gd(int l, int r)
 {
     return (LL)(r - l + 1) * (r + l) / 2%mod;
 }
 LL f(int n, int m)
 {
     LL res = 0;
     for (int r,l = 1; l <= n; l = r + 1)
     {
         r =  min(n,(int)min(g(l, n), g(l, m)));
         res = (res + (LL)(mu[r] - mu[l - 1]) * gd(1,n/l) % mod *gd(1,m/l)% mod) % mod;
     }
     return res;
 }
 int main()
 {
     into();
     cin >> n >> m;
     if (n >m)swap(n, m);
     LL ans = 0;
     for (int r,l = 1; l <= n; l = r + 1)
     {
         r =  min(n,(int)min(g(l, n), g(l, m)));
         ans = (ans + (LL)gd(l,r)% mod * (LL)f(n / l, m / l) % mod) % mod;
    }
     cout << (ans % mod + mod) % mod << endl;
     return 0;
 }