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1. the Euclidean methodThe greatest common divisor is a method of finding two natural numbers, also called Euclidean algorithm.For example, ask for GCD (319,377):∵377÷319=1 (Yu 58)∴GCD (377,319) =GCD (319,58);∵319÷58=5 (Yu 29),∴GCD (319,58) =GCD (58

Prime judgment:One, according to the definition of primes, the number in addition to 1 and itself no longer have other factors.See the code.1 intPrime ()2 {3 for(intI=2; i*i)4 {5 if(n%i==0)//not Prime6 return 1;//returns

Basic concepts
Least common multiple: multiples of two or more integers that are public are called their common multiple. The least common multiple of the integer A, a, and the same as [A, b], the a,b,c least common multiple is recorded as [

Greatest common divisor: also known as the maximum common factor, the largest common factor, refers to two or more integers with the largest of the total.least common multiple:multiples of several numbers in common called the common multiple of

1, two number coprime: if the two number of the public factor is only 1, then it can be said that the two numbers coprime. Euclidean algorithm for greatest common divisor:First, greatest common divisor, suppose we ask for a and b 's greatest common

How to find the greatest common divisor of two numbersOne:more subtractive loss//Well-known variants of the Euclidean method Main (){int A, b;scanf ("%d%d", &a,&b);While (a!=b){if (a>b)a-=b;ElseB-=a;}printf ("%d", a);}Two:Divide//General recursive

More subtractive loss SurgeryMore subtractive damage, also known as "equivalence algorithm"On the question of numerator, the essence is how to find the numerator, the denominator greatest common divisor. This method is described in the nine chapters

Seeking greatest common divisor by the method of dividing set two numbers to A, B (b
To find a proof from somewhere:principle and its detailed proofBefore introducing this method, we explain some of the characteristics of the integer division

Title Description
Description
Enter two positive integer x0,y0 (2
Condition: 1.p,q is a positive integer
2. Require p,q to x0 for greatest common divisor, y0 as least common multiple.
Trial: The number of all possible two

1. Euclidean algorithm
Euclidean algorithm, also known as the greatest common divisor, is used to calculate two integers a, b of the two-way. Its computational principle relies on the following theorem:Theorem: gcd (A, b) = gcd (b, a mod b)
Prove:A

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