有理数域上两个多项式的最大公因式的确定

On the Determination of the Biggest Common Factor of the Two Polynomials in the Scope of Rational Numbers

利用降次求有理数域上两个多项式最大公因式,一方面减少了辗转相除法的运算 量,提高了运算的正确率,另一方面,充分体现出辗转相除法的实际意义。

By means of degraded exponents, the biggest common factor in the scope of rational numbers can be worked out. On the one hand, the operational quantity of roundabout divisions has decreased and the operational correct rate has been raised. On the other hand, the actual meaning of roundabout division is embodied fully.