C++ Exercises: Create the first twenty Hamming numbers
C++ Numbers: Exercise-42 with Solution
Write a C++ program to create the first twenty Hamming numbers.
Sample Solution:
C++ Code:
#include <iostream>
#include <cmath>
using namespace std;
bool chkHhamming (int n)
{
if (n == 1) return true;
if (n%2==0 or n%3==0 or n%5==0)
{
for (int i = 2; i*i < n; ++i)
{
if (n%i == 0) {
if (i%2 != 0 and i%3!=0 and
i%5!=0) return false;
}
if (n%(n/i) == 0) {
if ((n/i)%2 != 0 and (n/i)%3!=0
and (n/i)%5!=0) return false;
}
}
return true;
}
return false;
}
int main ()
{
int n,j;
cout << "\n\n Find first twenty Hamming numbers: \n";
cout << " ---------------------------------------\n";
cout << " Input the upper limit of Hamming numbers: ";
cin>>n;
cout << " The Hamming numbers are: "<<endl;
while (j<=n)
{
int count = 0;
int i = 1;
bool first = true;
while (count < n)
{
if (chkHhamming(i))
{
if (not first) cout << ",";
cout << i;
++count;
first = false;
}
++i;
}
j++;
}
cout <<endl;
}
Sample Output:
Find first twenty Hamming numbers: --------------------------------------- Input the upper limit of Hamming numbers: 20 The Hamming numbers are: 1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,1 2,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25, 27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5 ,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,1 8,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32, 361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10 ,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,2 5,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4 ,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16 ,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,3 2,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9, 10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24 ,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3 ,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15, 16,18,20,24,25,27,30,32,361,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30 ,32,36
Flowchart:

C++ Code Editor:
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