10-26 Exercise 1: Calculates and displays the GCD of 2 integers

Question

Write a program that asks the user to enter two integers, then calculates and displays their greatest common divisor (GCD).

寫一個輸入兩個整數 輸出它們的最大公因數程式

Hint: Use Euclidean Algorithm

使用歐幾里得演算法

Example input: 

12 28

Example output:

4

 

Answer 1

Hidden content!
*** *       ** * 

int     *
{
int a, b;
    * ***    ** ** * * * **  * ** ****
 *    *   * **   * * * * *****
{
*        
* * *
else
 *  *  
}
 * *
   ** ** * ***   **   **
else
*  *  ** * *     **** *** 

 *** * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 2

Hidden content!
*** **   * ** *** ** *
int main (void)
{
int a,b,c;
   **** *   ** **  *  ** *
 * ** * *   ** ** *      * *
while ( a % b != 0){
**    ***  * **  *   * *  *  ****
 *** *  *  * ** * ***  ***  ** *
    * *    * *  **  **       **   *
}
 ** ***      **** *** *
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 3

Hidden content!
#include <stdio.h>
#include  **  *    * *   
int a,b;
int i;
int GCD=0;
int remainder, coefficient;
int main()
{
  **  * **** **  * * *   **** * *****     * ***  *   ** ** * ** 
 ** **   **     * * **  *   = a % b;
*  *     *****  * *   ******* *   (b!=0){
* *     **   * * *** *    ** * ** * **    * ** * * ** *  *   *  *** 
** ******  * *     ** *** ***  **** *   **   *   *  * * **  *** *

** *** ** *      ***  **   * **** * ****** * *  *    *
** * **    * ***   ** ***  * ** ***     * *   ** **   *  **  *    

 *         *   *  *   **     
  * ******    *  *     ***   ** (a==0){GCD=b;}
 **** * ***** ***   *** ***  ** (b==0){GCD=a;}
****    ********* * ** **   **  ****   * *   
   **  **** *   *   ******  ***  0;
}

Comments

prog.c:6:5: error: built-in function 'remainder' declared as non-function [-Werror]
 int remainder, coefficient;
     ^~~~~~~~~
cc1: all warnings being treated as errors

Answer 4

Hidden content!
#include *   *   * *  * 
int main(void)

{
 ** **    **** * * ***    a1, a2, i, gcd;


****   ****  *  ** *   ******   ***  * %d", &a1,   *** 

*    * *       **      **  *  i <= a1  **  *  * ** i <= a2; ++i)
*** * * **  * **   ***    ** 
*  * * *  *  * * ***  *  * * *     *   *   * *  * ** * * *     * ****  a2%i==0)
  * * *  *   *   *   *  *   ***   **   *   * * *** ******  * **     *** *  * *   = i;
  * ****  **** *    * * * 

   *    **   ****** *****   *   ****  **  * * *  gcd);

**   * * *   *      * ** **  0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 5

Hidden content!
#include<stdio.h>
int main()
{
 **     ***   ** **    *****  *   a,b,c;
   **** ****    *  * ****** * ***      ** %d",&a,&b);
* *** * *  *  ***   *   **  ** (a%b!=0)
 ****        *   *  ** 
 *    *  * * ******** * * ***** * *   ***  **  ** **
**  *  *   *** ** ** *  ** *  * ****** *** ** * * **
  **  *** **** ** ** * **   ** *   *   *  *** *  * * * * **
 ** ** *   ********  * * *
***  ** ***  *** *  ** ** ** *** **   ***  * ** ****
** * * *** *  * **   *  * * ***  0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 6

Hidden content!
*  *  * *   ******* 
int main (void)
{
int a,b,c;
**   ** *** **  * * ** ** *
        ** *   *         *
while ( a % b != 0){
  *     *      *  **********
  *  **** *  *  ** *****   * **
    *** *  ** *  ****  **
}
    * * *     *** ***  
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 7

Hidden content!
#include<stdio.h>
int main()
{
  *** ** * * *   * *  **    a,b,c;
 * * * * *  ** *    * ** * * *** ****** %d",&a,&b);
*** ***  *  *****  *  *** *  (a%b!=0)
**    ****    *  *   ***
** * ** *  * ***** ** * *   **      *   * *  **  *  ** ***
  * **  **** ****  *  ***********   ***   * * * **   *
*  **  ** * *  * **    ** * **  *    **   **     *  * ***
**  * *****     *     *** *
 **   * ** ** *   ***   *  **  **** **   
 * *     * ***  **  * * **  0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 8

Hidden content!
#include *  ** **   **   
int  ** 
{
*  * ***  * **** int a,b;
    ***  * * *  *****  ***  *   **    ****   * ***
 **** ***  ** *  
*   *        ** 
 **** ** * *   * **      **
*****   *  **   {
 *       ** *   * **  **  int c=a%b;
  *  *  **** **  ** * *    *  ** a=b;
    *    * * * ** *  ** *  b=c;
     ** *    *   **  * * **  
*****      }
  ** *   * *   
***      *     * ***
return  ***        * 
 * *  *   * *  
 *** *  ***** * 
* * **   *  
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 9

Hidden content!
#include<stdio.h>

int main() {
 *  * ******  *  * *   * * ** a, b, tmp;
**   ********** *** **     * *** * ** * %d", &a, &b);
 * * *  ***     **     ***  * ** *     {
  * ** ** * **** * *  ***  *  *****   * ** *** *   **  **** 
   *** ***      *** **    * ** *  *   ** * * * ***
  * ****    ** * *****  ***     *   ** * *    ** *
 * ****    * * *   ***   *   * *
  **    * *    * *  *** * ***   * ****  ****   * b);
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

---

great!