consecutive positive integers, the middle one is a perfect square number, the product of such 3 consecutive positive integers is called "wonderful number", what is the greatest common divisor of all "wonderful numbers"? (The Ninth China Cup)
3个连续正整数，中间一个是完全平方数，将这样的连续3个正整数的乘积称为"美妙数"，问所有的"美妙数"的最大公约数是多少？(第九届华杯赛)
<gadget id="calculator">3 * 4 * 5</gadget>
<output>60</output>

<result>60</result>