Large number factorial algorithmLarge number factorial algorithmA few days ago my friend asked me a question: "How does the factorial of 10000 count?" "I was a little confused at the time," 10000 "the number is too large, regardless of what data type to save the results will overflow. What can I do about it? At a time helpless. And then despised by a meal. Later
Factorial is a very interesting function, but many people are afraid of it. Let's look at two problems related to Factorial:
1. Given an integer N, the factorial N of N! How many zeros are there at the end? Example: N = 10, N! = 3 628 800, N! There are two zeros at the end.
2. Ask N! In binary format.
Some people may think about this question: is it necessary to
The array method is used to solve the problem that the factorial results of large numbers and huge numbers are out of bounds.
The specific algorithms have the simplest Multiplication operation ideas.
# Include
Int main (){Int N; // factorial sizePrintf ("Enter n size :");Scanf ("% d", N); // receives the factorial size from the keyboardInt A [200]; // make sure
Example: Enter n, calculate s = 1! + 2! + 3! + 4! + ... + n! of the last six bits (excluding the leading 0). Which n≤106.Analysis: Consider the following data overflow program:#include intMainvoid){ intN, I; intsum =1; intfactorial =1; scanf ("%d", N); for(i =2; I ) {factorial= (factorial * i)%1000000; Sum= (sum + factorial)%1000000; } printf ("%d\n", sum); r
Factorial Factorization (I) time limit: 3000 MS | memory limit: 65535 kb difficulty: 2
Description
Given two numbers m, n, where M is a prime number.
Returns the factorial of N (0
Input
The first row is an INTEGER (0 The next s row has two integers n and M.
Output
Number of output M.
Sample Input
2100 516 2
Sample output
2415
Topic backgroundThe factorial writing n! of N, which represents the product of all positive integers less than or equal to N.Title DescriptionThe factorial will grow quickly, such as the 13! must be stored with a 32-bit integer type, to 70! That is, the use of floating-point numbers will not survive. Your task is to find the first non-0-bit factorial. As an examp
Two factorial Problems
Two questions about factorial
This article introduces two problems related to the factorial operation. Remember, the factorial result cannot be calculated because it will overflow. Do not convert it to a string because it is troublesome. In general, we can use a mathematical method to convert th
Http://acm.nyist.net/JudgeOnline/problem.php? PID = 91
Factorial sum time limit: 3000 MS | memory limit: 65535 kb difficulty: 3
Description
We will give you a non-negative integer n to determine whether N is the sum of certain numbers (these numbers cannot be reused, and are positive numbers), such as 9 = 1! + 2! + 3 !, If yes, yes is output; otherwise, no is output;
Input
The
Description given a string s consisting of the first n lowercase letters. String S is the factorial string when and only the current N lowercase letters of the full permutation (the n! species) are the sub-sequences of s (can discontinuous) appear. From this definition, you can get a simple enumeration method to verify, but it is too slow. So now you have to design an algorithm that determines whether a given string is a
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
the beauty of programming has a topic about factorial: 1 Given an integer n, then the factorial of n equals n!, how many 0 at the end, for example, n=10,n!=3628800,n! at the end of two 0 2 The position of the lowest bit in the binary representation of the n! is 1. factorial definition:
N!={1 n(n? 1 )! n=0 n>0 ?N∈N
The author's analysi
the length of the factorial of 1058 NBase time limit:1 seconds space limit:131072 KBEnter N to find The length of the ten -binary representation of the factorial of n . For example 6! = 720, length is 3. InputInput N (1 OutputThe length of the factorial of the output NInput Example6Output Example3* n! the length is equal to log10 (n!)ImportJava.util.*; Public cl
anintegerreturnthenumberofinintime complexity.This problem requires solving the number of end 0 in the factorial in logarithmic time.The number of factorial in 0 is determined by the number of factors 2 and 5, and because factorial is the number of consecutive n, so the number of 2 is more than the number of 5, so the number of 0 is equal to the number of 5 of ea
Digit factorialsProblem 34145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.Find the sum of all numbers which is equal to the sum of the factorial of their digits.Note:as 1! = 1 and 2! = 2 is not sums they is not included.Answer:40730Completed on Wed, 8 Jul 2015, 17:34Go to the "thread for Problem" in the forum. fromMathImportFactorialm=factorial (9) def func(x):result=0 whileX>0: result+=
Large number factorial time limit:MS | Memory limit:65535 KB 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 factorial of the output m and ente
LIGHT_OJ 1138 the number of leading zeros after factorial n-trailing zeroes (III)Time Limit:2000MSMemory Limit:32768KB64bit IO Format:%LLD %llusubmit Status Practice LIGHTOJ 1138DescriptionYou task was to find minimal natural number N, so that n! contains exactly Q zeroes on the trail in decimal notation. As you know n! = 1*2*...*n. For example, 5! = contains one zero on the trail.InputInput starts with an integer T (≤10000), denoting the number of te
Problem descriptionGiven the parameter n (n is a positive integer), calculate the factorial of n n! The number of "0" is included at the end.For example, 5! =120, which contains the number of "0" at the end of the 1;10! = 3628800, with the number of "0" at the end of the 2;20! = 2432902008176640000, with the number of "0" at the end of which is 4.Problem Analysis:Obviously, for the factorial growth rate of
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
Leetcode172--factorial Trailing ZeroesGiven an integer n, and return the number of trailing zeroes in n!.Note:your solution should is in logarithmic time complexity.Difficulty factor: EasyTopic : Given an integer n, returns the number of n! at the end of 0, requiring a logarithmic order of time complexity.At first glance, this is really not difficult, it is very simple to ask n! first Well, then ask for the number 0. The result is no problem, but the
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