牛客网暑期ACM多校训练营（第六场）J Heritage of skywalkert

题目链接：https://www.nowcoder.com/acm/contest/144/J

时间限制：C/C++ 1秒，其他语言2秒
空间限制：C/C++ 262144K，其他语言524288K
64bit IO Format: %lld

题目描述 

skywalkert, the new legend of Beihang University ACM-ICPC Team, retired this year leaving a group of newbies again. 

Rumor has it that he left a heritage when he left, and only the one who has at least 0.1% IQ(Intelligence Quotient) of his can obtain it.

To prove you have at least 0.1% IQ of skywalkert, you have to solve the following problem:

Given n positive integers, for all (i, j) where 1 ≤ i, j ≤ n and i ≠ j, output the maximum value among .  means the Lowest Common Multiple.

输入描述:

The input starts with one line containing exactly one integer t which is the number of test cases. (1 ≤ t ≤ 50)

For each test case, the first line contains four integers n, A, B, C. (2 ≤ n ≤ 107, A, B, C are randomly selected in unsigned 32 bits integer range)

The n integers are obtained by calling the following function n times, the i-th result of which is ai, and we ensure all ai > 0. Please notice that for each test case x, y and z should be reset before being called.

No more than 5 cases have n greater than 2 x 106.

输出描述:

For each test case, output "Case #x: y" in one line (without quotes), where x is the test case number (starting from 1) and y is the maximum lcm.

示例1

输入

复制

2
2 1 2 3
5 3 4 8

输出

复制

Case #1: 68516050958
Case #2: 5751374352923604426

题意： 读题只读最后一句话系列。t组样例，t不超过50。每组样例四个数字n,a,b,c，n代表序列有n个数字，不超过5组样例n大于2e6,n<1e7。a,b,c在推出序列的过程中使用，数据范围unsigned int 
按照题意中给出的代码，每运行一次得到的就是a[i]，最后要求选出两个数字使其LCM最大，输出最大的LCM。
做法：丧心病狂，不是第一次遇见这样的解法了，也就是保留前100大，然后暴力求LCM即可。
注意*******  题目上说了a,b,c都是unsigned int类型的，不能开成unsigned long long类型的，不正常取舍答案会错误。
nth_element(a,a+k,a+n,cmp);可以得到前k小或者前k大，自定义排序方式
代码如下：

#include<stdio.h>
#include<iostream>
#include<algorithm>

using namespace std;

const int maxn = 10000007;

int t;
int n;
unsigned int x , y , z;
unsigned long long num[maxn];

unsigned long long gcd(unsigned long long a , unsigned long long b)
{
    unsigned long long c;
    c = a%b;
    while( c )
    {
        a = b;
        b = c;
        c = a%b;
    }
    return b;
}

unsigned int solve()
{
    unsigned int tt;
    x ^= x<<16;
    x ^= x>>5;
    x ^= x<<1;
    tt = x;
    x = y;
    y = z;
    z = tt^x^y;
    return z;
}

bool cmp(unsigned long long a , unsigned long long b)
{
    return a>b;
}

int main()
{
    scanf("%d" , &t);
    for(int cas=1; cas<=t; cas++)
    {
        scanf("%d%u%u%u" , &n , &x , &y , &z);
        for(int i=0; i<n; i++)
        {
            num[i] = solve();
        }
        int k = min(100 , n);   ///取前100大
        nth_element(num , num+k , num+n , cmp);
        unsigned long long ans;
        ans = 0;
        for(int i=0; i<k; i++)
        {
//            printf("%llu
" , num[i]);
            for(int j=i+1; j<k; j++)
            {
                ans = max(ans , num[i]*num[j]/gcd(num[i],num[j]));
//                 printf("%d..%d..%llu..%llu..%llu..%llu..
" , i , j , num[i] , num[j] , num[i]*num[j]/gcd(num[i],num[j]) , ans);
            }
        }
        printf("Case #%d: %llu
" , cas , ans);

    }


    return 0;
}

/*
337929
608269
1351708
64488027082
85984357633

405514
675854
1351708
1384776332
2769433858

0..1..405514..675854..137034129478..137034129478..
0..2..405514..1351708..274068258956..274068258956..
0..3..405514..1384776332..280773094747324..280773094747324..
0..4..405514..2769433858..561522100746506..561522100746506..
1..2..675854..1351708..1351708..561522100746506..
1..3..675854..1384776332..467953311543764..561522100746506..
1..4..675854..2769433858..935866475332366..935866475332366..
2..3..1351708..1384776332..467953311543764..935866475332366..
2..4..1351708..2769433858..1871732950664732..1871732950664732..
3..4..1384776332..2769433858..1917523229798924428..1917523229798924428..
*/