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TheAlgorithms/C++: math/gcd_recursive_euclidean.cpp File Reference

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Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm More...

#include <iostream>

Go to the source code of this file.

int  gcd (int num1, int num2) int  main ()

Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm

See also
gcd_iterative_euclidean.cpp, gcd_of_n_numbers.cpp

Definition in file gcd_recursive_euclidean.cpp.

◆ gcd() int gcd ( int num1, int num2 )

algorithm

Definition at line 14 of file gcd_recursive_euclidean.cpp.

14 {

15 if (num1 <= 0 | num2 <= 0) {

16 throw std::domain_error("Euclidean algorithm domain is for ints > 0");

17 }

18

19 if (num1 == num2) {

20 return num1;

21 }

22

23

24 if (num1 == 0)

25 return num2;

26 if (num2 == 0)

27 return num1;

28

29

30 if (num1 == num2)

31 return num1;

32

33

34 if (num1 > num2)

35 return gcd

(num1 - num2, num2);

36 return gcd

(num1, num2 - num1);

37}

int gcd(int num1, int num2)

◆ main()

Main function

Definition at line 42 of file gcd_recursive_euclidean.cpp.

42 {

43

std::cout <<

"gcd of 120,7 is "

<< (

gcd

(120, 7)) << std::endl;

44 try {

45

std::cout <<

"gcd of -120,10 is "

<<

gcd

(-120, 10) << std::endl;

46 } catch (const std::domain_error &e) {

47 std::cout << "Error handling was successful" << std::endl;

48 }

49

std::cout <<

"gcd of 312,221 is "

<< (

gcd

(312, 221)) << std::endl;

50

std::cout <<

"gcd of 289,204 is "

<< (

gcd

(289, 204)) << std::endl;

51 return 0;

52}


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