# Answer to Question #29981 in C++ for simon

Question #29981

loweast common divsor 3 numbes c++ code

Expert's answer

// question.cpp : Defines the entry point for the console application.

//

#include <iostream>

#include <vector>

using namespace std;

int gcd ( int a, int b );

int lcm ( int a, int b);

int gcd3 ( int a, int b, int c );

int lcm3 ( int a, int b, int c );

int lcd3 ( int a, int b, int c );

void factorization ( int n, vector<int>& divisors, vector<int>& degrees);

void main()

{

int a, b, c;

cout << "Please, input 3 numbers: ";

cin >> a >> b >> c;

int rGDC = gcd3 (a, b, c);

cout << "Greatest common divisor: "<< rGDC << endl;

int rLCM = lcm3 (a, b, c);

cout << "Least common multiple: "<< rLCM << endl;

int rLCD = lcd3 (a, b, c);

cout << "Lowest common divisor: "<< rLCD << endl;

}

int gcd ( int a, int b )

{

int c;

while ( a != 0 )

{

& c = a;

& a = b % a;

& b = c;

}

return b;

}

int lcm (int a, int b)

{

return (a * b) / gcd(a, b);

}

int gcd3 ( int a, int b, int c )

{

return gcd ( gcd ( a, b ), c );

}

int lcm3 ( int a, int b, int c )

{

return lcm( lcm( a, b ), c );

}

int lcd3 ( int a, int b, int c )

{

vector<int> divisorsA, divisorsB, divisorsC, degreesA, degreesB, degreesC, tmp;

factorization ( a, divisorsA, degreesA );

factorization ( b, divisorsB, degreesB );

factorization ( c, divisorsC, degreesC );

if ( divisorsA.size() <= divisorsB.size() && divisorsA.size() <= divisorsC.size() )

{

& tmp = divisorsA;

}

else if ( divisorsB.size() <= divisorsA.size() && divisorsB.size() <= divisorsC.size() )

{

& tmp = divisorsB;

}

else

{

& tmp = divisorsC;

}

for (int i = 0; i < tmp.size(); ++i)

{

& int f = 0;

& int num = tmp[i];

& for (int j = 0; j < divisorsA.size(); j++)

& {

if ( num == divisorsA[j] )

++f;

& }

& for (int j = 0; j < divisorsB.size(); j++)

& {

if ( num == divisorsB[j] )

++f;

& }

& for (int j = 0; j < divisorsC.size(); j++)

& {

if ( num == divisorsC[j] )

++f;

& }

& if ( 3 == f )

return num;

}

return 1;

}

void factorization ( int n, vector<int>& divisors, vector<int>& degrees )

{

if ( n == 1 || n == 2 || n == 3)

{

& divisors.push_back(n);

& degrees.push_back(1);

& return;

}

if ( 0 == n % 2 )

{

& n /= 2;

& divisors.push_back(2);

& degrees.push_back(1);

}

while ( 0 == n % 2 )

{

& n /= 2;

& degrees[degrees.size() - 1]++;

}

for ( int i = 3; i <= n && (n != 1); i += 2)

{

& if ( 0 == n % i )

& {

n /= i;

divisors.push_back(i);

degrees.push_back(1);

& }

& while ( 0 == n % i )

& {

n /= i;

degrees[degrees.size() - 1]++;

& }

}

}

//

#include <iostream>

#include <vector>

using namespace std;

int gcd ( int a, int b );

int lcm ( int a, int b);

int gcd3 ( int a, int b, int c );

int lcm3 ( int a, int b, int c );

int lcd3 ( int a, int b, int c );

void factorization ( int n, vector<int>& divisors, vector<int>& degrees);

void main()

{

int a, b, c;

cout << "Please, input 3 numbers: ";

cin >> a >> b >> c;

int rGDC = gcd3 (a, b, c);

cout << "Greatest common divisor: "<< rGDC << endl;

int rLCM = lcm3 (a, b, c);

cout << "Least common multiple: "<< rLCM << endl;

int rLCD = lcd3 (a, b, c);

cout << "Lowest common divisor: "<< rLCD << endl;

}

int gcd ( int a, int b )

{

int c;

while ( a != 0 )

{

& c = a;

& a = b % a;

& b = c;

}

return b;

}

int lcm (int a, int b)

{

return (a * b) / gcd(a, b);

}

int gcd3 ( int a, int b, int c )

{

return gcd ( gcd ( a, b ), c );

}

int lcm3 ( int a, int b, int c )

{

return lcm( lcm( a, b ), c );

}

int lcd3 ( int a, int b, int c )

{

vector<int> divisorsA, divisorsB, divisorsC, degreesA, degreesB, degreesC, tmp;

factorization ( a, divisorsA, degreesA );

factorization ( b, divisorsB, degreesB );

factorization ( c, divisorsC, degreesC );

if ( divisorsA.size() <= divisorsB.size() && divisorsA.size() <= divisorsC.size() )

{

& tmp = divisorsA;

}

else if ( divisorsB.size() <= divisorsA.size() && divisorsB.size() <= divisorsC.size() )

{

& tmp = divisorsB;

}

else

{

& tmp = divisorsC;

}

for (int i = 0; i < tmp.size(); ++i)

{

& int f = 0;

& int num = tmp[i];

& for (int j = 0; j < divisorsA.size(); j++)

& {

if ( num == divisorsA[j] )

++f;

& }

& for (int j = 0; j < divisorsB.size(); j++)

& {

if ( num == divisorsB[j] )

++f;

& }

& for (int j = 0; j < divisorsC.size(); j++)

& {

if ( num == divisorsC[j] )

++f;

& }

& if ( 3 == f )

return num;

}

return 1;

}

void factorization ( int n, vector<int>& divisors, vector<int>& degrees )

{

if ( n == 1 || n == 2 || n == 3)

{

& divisors.push_back(n);

& degrees.push_back(1);

& return;

}

if ( 0 == n % 2 )

{

& n /= 2;

& divisors.push_back(2);

& degrees.push_back(1);

}

while ( 0 == n % 2 )

{

& n /= 2;

& degrees[degrees.size() - 1]++;

}

for ( int i = 3; i <= n && (n != 1); i += 2)

{

& if ( 0 == n % i )

& {

n /= i;

divisors.push_back(i);

degrees.push_back(1);

& }

& while ( 0 == n % i )

& {

n /= i;

degrees[degrees.size() - 1]++;

& }

}

}

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