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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<set> #include<bitset> #include<cmath> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll unsigned long long #define succ(x) (1ll<<x) #define lowbit(x) (x&(-x)) #define sqr(x) ((x)*(x)) #define mid (x+y>>1) #define NM 1000005 #define nm 50005 using namespace std; const double pi=acos(-1); const double eps=1e-8; const ll inf=1e9+7; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
int n,m; ll ans; int tot,prime[NM],mu[NM],f[NM]; bool v[NM]; void init(){ n=1e6;f[1]=mu[1]=1; inc(i,2,n){ if(!v[i])prime[++tot]=i,mu[i]=-1,f[i]=-2; inc(j,1,tot){ if(i*prime[j]>n)break; v[i*prime[j]]++; if(i%prime[j]==0){ if(i/prime[j]%prime[j]){ f[i*prime[j]]=-f[i]/2; } break; } f[i*prime[j]]=-2*f[i]; mu[i*prime[j]]=-mu[i]; } } }
int main(){ init(); int _=read();while(_--){ n=read();m=read(); ans=0; inc(i,1,n){ int s=0,t=0; for(int j=i;j<=n;j+=i)s+=mu[j]; for(int j=i;j<=m;j+=i)t+=mu[j]; ans+=f[i]*s*t; } printf("%lld\n",ans); } return 0; }
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