Visible Lattice Points SPOJ - VLATTICE 三维+莫比乌斯反演

【Visible Lattice Points SPOJ - VLATTICE 三维+莫比乌斯反演】的更多相关文章

Visible Lattice Points SPOJ - VLATTICE 三维+莫比乌斯反演

#include<bits/stdc++.h> #define ll long long using namespace std; ; int vis[maxn]; int mu[maxn]; int prime[maxn]; ; int sum1[maxn]; int sum2[maxn]; void get_mu() { mu[]=; vis[]=; ;i<maxn;i++) { ; prime[++tot]=i; } ;j<=tot && i*prime[j]…

SPOJ VLATTICE （莫比乌斯反演）

传送门:https://www.spoj.com/problems/VLATTICE/en/ 题意: 在三维坐标系下,你在点(0,0,0),看的范围是(n,n,n)以内,求你可以看见多少个点没有被遮挡题解: 一条线上的点肯定是会被挡的所以我们求的是\(gcd(x,y,z)==1\)的组数我们设 \[ f(d):gcd(x,y,z)=d的对数\\ F(d):d|gcd(x,y,z)的对数\\ 由于F(d)为[n/d]*[n/d]*[n/d]\\ 所以反演可得\\ f(1)=mu[d]*[n/…

SPOJ VLATTICE（莫比乌斯反演）

题意: 在一个三维空间中,已知(0,0,0)和(n,n,n),求从原点可以看见多少个点思路: 如果要能看见,即两点之间没有点,所以gcd(a,b,c) = 1 /*来自kuangbin 利用推GCD(a,b)的方法,可以推出GCD(a,b,c) = 1的个数等于mu[i]*(n/i)*(n/i)*(n/i)的和然而是从0点开始的,而我们只能从1开始计算,因为少了0周围的所有ans初始+3 对于A(0,0,1),所以在计算mu[i]*(n/i)*(n/i)*(n/i)时,我们忽…

SPOJ VLATTICE Visible Lattice Points (莫比乌斯反演基础题)

Visible Lattice Points Consider a N*N*N lattice. One corner is at (0,0,0) and the opposite one is at (N,N,N). How many lattice points are visible from corner at (0,0,0) ? A point X is visible from point Y iff no other lattice point lies on the segmen…

[SPOJ VLATTICE]Visible Lattice Points 数论莫比乌斯反演

7001. Visible Lattice Points Problem code: VLATTICE Consider a N*N*N lattice. One corner is at (0,0,0) and the opposite one is at (N,N,N). How many lattice points are visible from corner at (0,0,0) ? A point X is visible from point Y iff no other lat…

spoj 7001. Visible Lattice Points GCD问题莫比乌斯反演

SPOJ Problem Set (classical) 7001. Visible Lattice Points Problem code: VLATTICE Consider a N*N*N lattice. One corner is at (0,0,0) and the opposite one is at (N,N,N). How many lattice points are visible from corner at (0,0,0) ? A point X is visible…

SPOJ 7001. Visible Lattice Points （莫比乌斯反演）

7001. Visible Lattice Points Problem code: VLATTICE Consider a N*N*N lattice. One corner is at (0,0,0) and the opposite one is at (N,N,N). How many lattice points are visible from corner at (0,0,0) ? A point X is visible from point Y iff no other lat…