Been searching here and google for a couple of days as well as asking my programming friends. Unfortunately, i still don't understand how to change my code...
My program calculates the factorial of a given number. It then provides a number which represents how many digits the factorials answer includes. Then it sums the values of those digits together to give a total.
My program works for any number between 1! and 31!... If you put in anything over 31! (for example 50! or 100!) it doesn't work and just throws back minus numbers and no total.
I was hoping you guys could point me in the right direction or give me some advice. I understand using BigIntegers maybe a solution however i don't understand them personally, hence coming here.
Any help would be much appreciated. Thanks.
package java20;
/**
* Program to calculate the factorial of a given number.
* Once implemented, it will calculate how many digits the answer includes.
* It will then sum these digits together to provide a total.
* @author shardy
* date: 30/09/2012
*/
//import java.math.BigInteger;
public class Java20 {
/**
* @param args the command line arguments
*/
public static void main(String[] args) {
//Using given number stored in factorialNo, calculates factorial
//currently only works for numbers between 1! and 31! :(
int fact= 1;
int factorialNo = 10;
for (int i = 1; i <= factorialNo; i++)
{
fact=fact*i;
}
System.out.println("The factorial of " + factorialNo +
" (or " + factorialNo + "!) is: " + fact);
//Using answer stored in fact, calculates how many digits the answer has
final int answerNo = fact;
final int digits = 1 + (int)Math.floor(Math.log10(answerNo));
System.out.println("The number of digits in the factorials "
+ "answer is: " + digits);
//Using remainders, calculates each digits value and sums them together
int number = fact;
int reminder;
int sum = 0;
while(number>=1)
{
reminder=number%10;
sum=sum+reminder;
number=number/10;
}
System.out.println("The total sum of all the " + digits
+ " idividual digits from the answer of the factorial of "
+ factorialNo + " is: " + sum);
}
}
You can use BigInteger in java, it has as much numbers as you want
BigInteger fact= BigInteger.ONE;
int factorialNo = 10;
for (int i = 2; i <= factorialNo; i++){
fact = fact.multiply(new BigInteger(String.valueOf(i)));
}
System.out.println("The factorial of " + factorialNo +
" (or " + factorialNo + "!) is: " + fact);
final int digits = fact.toString().length();
BigInteger number = new BigInteger(fact.toString());
BigInteger reminder;
BigInteger sum = BigInteger.ZERO;
BigInteger ten = new BigInteger(String.valueOf(10));
while(number.compareTo(BigInteger.ONE)>=0)
{
reminder=number.mod(ten);
sum=sum.add(reminder);
number=number.divide(ten);
}
System.out.println("The total sum of all the " + digits
+ " idividual digits from the answer of the factorial of "
+ factorialNo + " is: " + sum
EDIT: the code is improved to be compatible with author's code