Egyptian fraction solution in java
Java program for Egyptian fraction solution. Here problem description and explanation.
/*
Java program for
Egyptian fraction solution
*/
public class Fraction
{
public void egyptianFraction(int a, int b)
{
if (a == 0 || b == 0)
{
return;
}
if (b >= a)
{
// Calculate remainder
int remainder = b % a;
// Calculate divisor
int divisor = b / a;
if (remainder != 0)
{
divisor++;
System.out.print("1/" + divisor + " + ");
a = a * divisor - b;
b = b * divisor;
egyptianFraction(a, b);
}
else
{
// When remainder is zero
System.out.print("1/" + divisor);
}
}
else
{
// When b < a
System.out.print((a / b) + " + ");
egyptianFraction(a % b, b);
}
}
public static void main(String[] args)
{
Fraction task = new Fraction();
// Two numbers
int a = 7;
int b = 53;
task.egyptianFraction(a, b);
}
}
Output
1/8 + 1/142 + 1/30104
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