- 問題
Problem 38:Pandigital multiples
Take the number 192 and multiply it by each of 1, 2, and 3:192 × 1 = 192
192 × 2 = 384
192 × 3 = 576
By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3)The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5).
What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n > 1?
- 解答例
max = 0 for i in range(1, 10000): tempStr = [] j = 1 while True: tempStr.extend(list(str(i * j))) if len(tempStr) >= 9: if "".join(sorted(tempStr)) == '123456789': if max < int("".join(tempStr)): max = int("".join(tempStr)) print(i) break j += 1 print(max)