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!