Egyptian fraction solution in php
Php program for Egyptian fraction solution. Here more information.
<?php
/*
Php program for
Egyptian fraction solution
*/
class Fraction
{
public function egyptianFraction($a, $b)
{
if ($a == 0 || $b == 0)
{
return;
}
if ($b >= $a)
{
// Calculate remainder
$remainder = $b % $a;
// Calculate divisor
$divisor = (int)($b / $a);
if ($remainder != 0)
{
$divisor++;
echo "1/",($divisor)," + ";
$a = $a * $divisor - $b;
$b = $b * $divisor;
$this->egyptianFraction($a, $b);
}
else
{
// When remainder is zero
echo "1/".strval($divisor);
}
}
else
{
// When b < a
echo ((int)($a / $b))," + ";
$this->egyptianFraction($a % $b, $b);
}
}
public static
function main($args)
{
$task = new Fraction();
// Two numbers
$a = 7;
$b = 53;
$task->egyptianFraction($a, $b);
}
}
Fraction::main(array());
Output
1/8 + 1/142 + 1/30104
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