| 最大公约数倍数和表示通式及其应用 |
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| 引用本文： | 陈颖树.最大公约数倍数和表示通式及其应用[J].东北师大学报(自然科学版),1997(4):19-22. |
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| 作者姓名： | 陈颖树 |
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| 作者单位： | 琼州大学数学系 |
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| 摘 要： | 采用消法变换演化整数列，使之显现出该整数剂的最大公约数及其倍数和表示式的系数向量，在此基础上构作出倍数表示通式，并将之应用于不定方程求解。
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| 关 键 词： | 消法变换 最大公约数倍数 表示通式 不定方程 |
The General Formula of Mutiple Sum Expression of g.c.d. and its Application |
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| Chen Yingshu.The General Formula of Mutiple Sum Expression of g.c.d. and its Application[J].Journal of Northeast Normal University (Natural Science Edition),1997(4):19-22. |
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| Authors: | Chen Yingshu |
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| Abstract: | This paper transforms the integral column by the elimination transformation, makes the g.c.d. of the integral column appear, and gets the coefficient veotor of multiple sum expression of g.c.d. Hence, obtains the general formula of multiple sum expression, and gives its application on finding solution of indeterminate equation. |
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| Keywords: | elimination transformation general formula of multiple sum expression indeterminate equation of the first degree |
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