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  • 江西财经大学第一届程序设计竞赛 H题- 小P的数学问题

    题目链接:https://www.nowcoder.com/acm/contest/115/H

    解题思路:分块打表!!!

    什么是分块打表呢???

    从这道题我们知道我们要找到最多1*e9的阶乘

    那循环暴力肯定tle,就是不tle,数组也开不了那么大的空间。

    那么我们将1——1*e9分为100个区间。即

    [ 1,1*e7]  、[1*e7 , 2*e7] 、、、、[99*e7 ,100*e7]。

    我们只需要将中间的节点存起来就行,然后每次循环只需要1*e7次就可以了。

    AC代码:

     1 #include<iostream>
     2 #define INF 1000000007
     3 #define m 10000000
     4 using namespace std;
     5 long long a[110]={1,682498929,491101308,76479948,723816384,67347853,27368307,
     6 625544428,199888908,888050723,927880474,281863274,661224977,623534362,
     7 970055531,261384175,195888993,66404266,547665832,109838563,933245637,
     8 724691727,368925948,268838846,136026497,112390913,135498044,217544623,
     9 419363534,500780548,668123525,128487469,30977140,522049725,309058615,
    10 386027524,189239124,148528617,940567523,917084264,429277690,996164327,
    11 358655417,568392357,780072518,462639908,275105629,909210595,99199382,
    12 703397904,733333339,97830135,608823837,256141983,141827977,696628828,
    13 637939935,811575797,848924691,131772368,724464507,272814771,326159309,
    14 456152084,903466878,92255682,769795511,373745190,606241871,825871994,
    15 957939114,435887178,852304035,663307737,375297772,217598709,624148346,
    16 671734977,624500515,748510389,203191898,423951674,629786193,672850561,
    17 814362881,823845496,116667533,256473217,627655552,245795606,586445753,
    18 172114298,193781724,778983779,83868974,315103615,965785236,492741665,
    19 377329025,847549272,698611116};
    20 int main(){
    21     int T;
    22     cin>>T;
    23     while(T--){
    24         long long n;
    25         cin>>n;
    26         int t=n/m;
    27         int mx=(t+1)*m;
    28         long long ans=a[t];
    29         if(n%m==0){
    30             cout<<a[t]<<endl;
    31         }else{
    32             for(int i=t*m+1;i<mx;i++){
    33                 long long val=ans*i%INF;
    34                 if(i==n){
    35                     cout<<val<<endl;
    36                     break;
    37                 }
    38                 ans=val;
    39             }
    40         }
    41     }
    42     return 0;
    43 }
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  • 原文地址:https://www.cnblogs.com/ISGuXing/p/8907236.html
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