caioj 1161 欧拉函数3:可见点数
(x, y)被看到仅当x与y互质
由此联想到欧拉函数
x=y是1个点,然后把正方形分成两半,一边是φ(n)
所以答案是2*∑φ(n)+1
#include<cstdio>
#include<cctype>
#define REP(i, a, b) for(int i = (a); i < (b); i++)
#define _for(i, a, b) for(int i = (a); i <= (b); i++)
using namespace std;
typedef long long ll;
const int MAXN = 1123;
ll euler[MAXN];
void get_euler()
{
_for(i, 1, MAXN) euler[i] = i;
_for(i, 2, MAXN)
{
if(euler[i] == i)
for(int j = i; j <= MAXN; j += i)
euler[j] = euler[j] / i * (i - 1);
euler[i] += euler[i-1];
}
}
void read(ll& x)
{
int f = 1; x = 0; char ch = getchar();
while(!isdigit(ch)) { if(ch == '-1') f = -1; ch = getchar(); }
while(isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); }
x *= f;
}
int main()
{
get_euler();
ll n; read(n);
_for(i, 1, n)
{
ll x; read(x);
printf("%d %lld %lld\n", i, x, 2 * euler[x] + 1);
}
return 0;
}