设计一个程序，计算任意两个整数a、b的最大公因子。进一步求出整数s、t，使得sa+tb=(a,b)。当a=3378,=231时，求出相应的s,t以及a与b的最大公因子(a,b)-Design a program to calculate any two integers a, b ​ ​ of the greatest common factor. Further find integers s, t, making sa tb = (a, b). When a = 3378, = 231, the find the corresponding s, t and a and b of the greatest common divisor (a, b)