The Stirling formula is a mathematical formula used to approximate the n factorial. In general, when N is very large, the calculation of n factorial is very large, so the Stirling formula is very useful, and even when N is very small, the Stirling formula is very accurate:
When the Stirling formula is used to calculate the number of bits of the n! result, the logarithm can be taken on either side:
1#include 2 3 /*4 title: Seeking the 1+2!+3!+...+20! and5 */6UnsignedLong Long int7Factorial (LongN) {8UnsignedLong Long intTMP =1;//the factorial of each number, e.g., 1!,2!,3!... 20!.9UnsignedLong Long intsum =0;//sum, namely the 1+2!+3!+...+20! and.Ten for(Long Long inti =1; I ) { OneTMP *=i; ASum + =tmp; - } - the returnsum; - } - - int +Mainvoid) { -UnsignedLong Long intR = Factorial
]; - } - - //Rotate the elements. + for(inti =0; I ) - { +nums[(i + k)%n] =Numscopy[i]; A } at } -};Code Listing 2: Thinking two time complexity is (n), spatial complexity is (1) 1 void rotate (intint int k) {2 reverse (nums,nums+n); // explanation See ideas 3 Reverse (nums,nums+k%n); 4 Reverse (nums+k%n,nums+n); 5 }Factorial Trailing ZeroeTopic:Given an integer n, re
Factorial Trailing Zeroes:Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should is in logarithmic time complexity.
Solution:To n! do qualitative factor decomposition n!=2x*3y*5z* ...Obviously the number of 0 equals min (x,z), and Min (x,z) ==zProve:For factorial, that is 1*2*3*...*n[N/k] Represents the number of 1~n that can be divisible by kWell, obviously,[N/2]
Describe
we all know how to calculate the factorial of a number, but if the number is large, how do we calculate it and output it?
Input
Enter an integer m (0
Output
the factorial of the output m and enter a newline character after the output ends
Sample input
Title Description:
Enter an integer n, the factorial of the output n
Input:
An integer n (1
Output:
factorial of n
Sample input:
3
Sample output:
6
Source:
2001, Tsinghua University, computer r
factorial Trailing ZeroesGiven an integer n, return the number of trailing zeroes in N!.Note:your solution should is in logarithmic time complexity.Ideas:Won't do. First Baidu Factorial finally has a few zeros, know the method the rest is very simple.Very admire them, can come up with this method.Exercisesclass Solution {public: int trailingzeroes (int n) { int0; while (n) {
Title Description:
Enter a positive integer n to output the factorial of N.
Input:
Positive integer N (0
Output:
Input may include multiple sets of data, for each set of input data, the factorial of the output n
Sample input:
4515
Sample output:
current element, each time we get an element to join the result array, we will remove it from the remaining array, the remaining array reordering, and then still follow the index to take the element.Assuming there are n elements, the K-permutation isif (Round > 0) factorial/= round;A1, a2, A3, ..., anSo which number is A1? So here we get rid of the A1, so the rest of the permutation isA2, A3, ... an, total n-1 elements. N-1 elements in
Factorial very good, recursive on the line, but for the larger number, factorial results very very large, wood has a way, can only be handled by string.We use string multiplication to do it. After testing, this program can run a maximum of n value of almost 3000, and Windows on the scientific calculator of the same:)String multiply (string num1, String num2) {int len1 = Num1.size (), len2 = Num2.size (), Le
324-factorial Frequencies
Time limit:3.000 seconds
Http://uva.onlinejudge.org/index.php?option=com_onlinejudgeItemid=8category=24page=show_problem problem=260
In a attempt to bolster her sagging palm-reading business, Madam Phoenix has decided to offer several numerological S to her customers. She has been able to convince them this frequency of occurrence of the digits in the decimal representation of Factori ALS bear witness to their futures. Unl
Http://acm.nyist.net/JudgeOnline/problem.php? Pid = 28Big Data factorial time limit: 3000 MS | memory limit: 65535 KB difficulty: 3
Description
We all know how to calculate a factorial of a number. But if this number is large, how should we calculate it and output it?
Input
Enter an integer m (0
Output
Output the factorial
The factorial sum between 0-1 and n for function calls in C Language// Function Method/*========================================================== ============================Question: Please 1 ~ The factorial of n and! (0 ========================================================== ============================*/# Include
# Define M 25
# Define H printf (---------------------------);
Int J (int n)
{
DescriptionThe factorial writing of n n! represents the product of all positive integers less than or equal to N. The factorial will quickly become larger, as 13! must be stored with a 32-bit integer type, 70! Even with floating-point numbers. Your task is to find the last non-0-bit of factorial. For example, 5!=1*2*3*4*5=120 so 5! The last side of the non-0-bit
DescribeWe all know the concept of factorial, give a simple example: 5! =1*2*3*4*5. Now we are introducing a new factorial concept that multiplies the original number by multiplying it by all the odd numbers multiplied by the I not greater than N for example: 5!! =1*3*5. Now understand the meaning of this factorial now!Now your job is to find out 1!!. +2!! ... +n
Enter a positive integer no more than 1000 for you to output the exact value of its factorial. For the factorial everyone will, with recursion can be done, the cost will be relatively large. Factorial growth is fast, and the range size of the int value in C is related to the number of computer bits n. The integer interval is [ -2^ (n-1), 2^ (n-1)). On a 32-bit PC
Topic Meaning:http://www.51nod.com/onlineJudge/questionCode.html#!problemId=1003How many 0 are behind the factorial of n?the factorial of 6 = 1*2*3*4*5*6 = 720,720 is followed by a 0. InputA number n (1 OutputNumber of outputs 0Input Example5Output Example1 Topic Analysis: for the subject, only need to know in n! , if a multiple of 5 is included, the end is one more 0, if it contains 5^2, add 2 0 at the end
Large number factorial time limit: theMs | Memory Limit:65535KB Difficulty:3
Describe
We all know how to calculate the factorial of a number, but if the number is large, how do we calculate it and output it?
Input
Enter an integer m (0
Output
the
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