Euclidean Algorithm gcd and its ultimate explanation
This problem has plagued me for a long time. I finally found an explanation, and I made some changes myself. I will certainly be able to deepen my understanding after my patience.
Extended
Extended Euclidean algorithm-solving indefinite equation, linear congruence equation.If the two frogs meet after the S-step, the following equations will be fulfilled:(x+m*s)-(y+n*s) =k*l (k=0,1,2 ...)Slightly changed to form:(n-m) *s+k*l=x-yMake
Mathematical principle:There are two numbers of NUM1 and num2, assuming that the NUM1 is relatively large. Make remainder r = num1% num2.When r = = 0 o'clock, that is, NUM1 can be divisible by num2, obviously num2 is the gcd of these two
This article mainly introduces the PHP data structure based on recursion, has a certain reference value, now share to everyone, have the need for friends can refer to
What is recursion?
As mentioned before, recursion is a solution that breaks down
Test instructions gives you a bunch of numbers and asks you to find them LMC (least common multiple). The first two are least common multiple equals they multiply and then one of their gcd (greatest common divisor), that three number of the largest
I recently read about GCD again. I just kept on using the function in a simple way. Now I have a little more understanding and a summary.
In fact, when using the GCD function, it is easy to notice that a word often appears, that is, dispatch. I
Euclidean algorithmEuclidean algorithm, also known as the greatest common divisor method, is used to calculate two integers, a, b, and so on.Basic algorithm: Set A=qb+r, where a,b,q,r are integers, then gcd (A, B) =gcd (b,r), gcd (A, B) =gcd (b,a%b).
Recursive invocation of non-recursive calls
Run time comparison
Conclusion
Bit operation and multiplication method
Conclusion
Recursive call/non-recursive invocationAs we all know, many algorithms are
Turn from online Daniel Blog, speak of easy to understand.Original address: http://www.cnblogs.com/frog112111/archive/2012/08/19/2646012.htmlEuclidean algorithmEuclidean algorithm, also known as the greatest common divisor method, is used to
1. A function is called a method, which means a block of code that implements a function or completes a task.The body of the function begins with the curly brace, and the closing of the curly brace//function consists of the//main function, which is
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