In this paper we get a seeking unified method of the least common multiple the greatest common factor and coefficients polynomial by implementing elementary row transformation in a polynomial matrix.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
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