136 - Ugly Numbers

Ugly Numbers

Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence

 

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, ...

 

 

shows the first 11 ugly numbers. By convention, 1 is included.

 

Write a program to find and print the 1500'th ugly number.

 

Input and Output

There is noinput to this program. Output should consist of a single line asshown below, with <number> replaced by the number computed.

 

Sample output

The 1500'th ugly number is <number>.

#include<stdio.h>

int main(void)

{

	int un[1505]={0};

	int m2=0,m3=0,m5=0,i,t;

	un[0]=1;

	for(i=1;i<1500;i++)

	{

		if(2*un[m2]>3*un[m3])

			t=un[m3]*3;

		else

			t=un[m2]*2;

		if(t>un[m5]*5)

			t=un[m5]*5;



		if(t == 2*un[m2]) m2++;

		if(t == 3*un[m3]) m3++;

		if(t == 5*un[m5]) m5++;



		un[i]=t;

	}

	printf("The 1500'th ugly number is %d.\n",un[1499]);

	return 0;

}