Smallest Divisible Digit Product II
You are given a string num which represents a positive integer, and an integer t.
A number is called zero-free if none of its digits are 0.
Return a string representing the smallest zero-free number greater than or equal to num such that the product of its digits is divisible by t. If no such number exists, return "-1".
Example 1
Input
num = "1234", t = 256Output
"1488"The smallest zero-free number that is greater than 1234 and has the product of its digits divisible by 256 is 1488, with the product of its digits equal to 256.
Example 2
Input
num = "12355", t = 50Output
"12355"12355 is already zero-free and has the product of its digits divisible by 50, with the product of its digits equal to 150.
Constraints
- 2 <= num.length <= 2 * 10^5
- num consists only of digits in the range ['0', '9'].
- num does not contain leading zeros.
- 1 <= t <= 10^14