欧氏环中最大公因子与最小公倍子的统一求法

A united method for greatest common factor and least common multiple in euclidean ring

通过对欧氏环上矩阵的讨论 ,给出了欧氏环中两个元素的最大公因子与最小公倍子的统一求法 .该方法对整数环 Z和多项式环

A united method for greatest common factor and least common multiple of two elements in Euclidean ring is given.It is significant in guide for solving the problems in the integerring Z and the polynomial ring F.