https://codeforces.com/contest/1133/problem/D
题解:就是求斜率相同的最大个数
特判a[i] b[i]为0的时候三种情况,其中a[i] b[i]同时为0时的情况可以加到答案里
C++版本一
long double 有精度问题
/*
*@Author: STZG
*@Language: C++
*/
#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
//#define DEBUG
#define RI register int
using namespace std;
typedef long long ll;
//typedef __int128 lll;
const int N=200000+10;
const int M=100000+10;
const int MOD=1e9+7;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
int t,n,m,k,q;
int ans,cnt,flag,temp,sum;
int a[N];
int b[N];
long double c[N];
char str;
struct node{};
int main()
{
#ifdef DEBUG
freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
#endif
//ios::sync_with_stdio(false);
//cin.tie(0);
//cout.tie(0);
//scanf("%d",&t);
//while(t--){
scanf("%d",&n);
for(int i=1;i<=n;i++){
scanf("%d",&a[i]);
}
for(int i=1;i<=n;i++){
scanf("%d",&b[i]);
}
for(int i=1;i<=n;i++){
if(a[i]==0){
if(b[i]!=0)
c[i]=-INF;
else{
cnt++;
c[i]=INF;
}
continue;
}
c[i]=(long double)b[i]/(long double)a[i];
}
sort(c+1,c+n+1);
for(int i=1;i<=n;i++){
if(c[i]==-INF||c[i]==INF)
continue;
ans=max(ans,(int)(upper_bound(c+1,c+n+1,c[i])-lower_bound(c+1,c+n+1,c[i])));
}
cout<<ans+cnt<<endl;
//}
#ifdef DEBUG
printf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC);
#endif
//cout << "Hello world!" << endl;
return 0;
}
C++版本二
分数解法
#include <bits/stdc++.h>
#define ll long long
using namespace std;
int aa[200005],ab[200005];
struct node
{
ll a,b;
}rr[200005];
bool cmp(node a1, node a2)
{
if(a1.a == a2.a){
return a1.b < a2.b;
}
return a1.a < a2.a;
}
int main()
{
int n;
scanf("%d",&n);
int cnt = 0, d0 = 0, a0 = 0, b0 = 0;
for(int i = 0; i < n; ++i)
{
scanf("%d",&aa[i]);
}
for(int i = 0; i < n; ++i)
{
scanf("%d",&ab[i]);
if(aa[i] == 0)
{
++a0;//�κ�d��������
if(ab[i] == 0)
{
++d0;//�κ�d������
++b0;//d����0������
}
}else if(ab[i] == 0){
++b0;
}else{
ll g = __gcd(aa[i],ab[i]);
rr[cnt].a = (long long)aa[i]/g;
rr[cnt].b = (long long)ab[i]/g;
if(rr[cnt].a < 0){
rr[cnt].a *= -1;
rr[cnt].b *= -1;
}
cnt++;
}
}
sort(rr,rr+cnt,cmp);
int ans = 0,cc = 1;
if(cnt > 0){
ans = 1;
}
for(int i = 1; i < cnt; ++i){
if(rr[i-1].a * rr[i].b == rr[i-1].b * rr[i].a){
cc++;
ans = max(ans,cc);
}else{
cc = 1;
}
}
printf("%d\n",max(b0,d0+ans));
return 0;
}