In this paper, it is proved that any couple of matrices over a principal ideal domain (or PID) have a right greatest common divisor and any couple of nonsingular matrices have a left least common multiple, and also, any nonsingular and irreversible matrix over a PID can be expressed as product of finite number of prime matrices.
证明了主理想整环上任一对矩阵均有右最大公因子,任一对非奇异矩阵有左最小公倍,并且证明了主理想整环上任一个非奇异不可逆的矩阵可分解成有限个素矩阵之积。
For two integers a,b,one can calculate the greatest common divisor(a,b) ofaandb by using Euclidean algorithm,then the least common multiple[a,b] =(ab/a, b).
利用欧几里得辗转相除法可以计算任意2个整数a,b的最大公约数(a,b),通过[a,b]=(ab/a,b)可以求得a,b的最小公倍数[a,b]。
For any positive integer n,let S(n) denote the Smarandache function,and L(n) be the least common multiple of all positive integers not exceeding n.
对于任意正整数n,用S(n)表示Smarandache函数,L(n)表示不大于n的所有正整数的最小公倍数。
In order to reduce multiplicative operation rates effectively, three DDC structures based on poly-phase filter have been presented in this paper, which are called respectively the postpositional mixer structure, the least common multiple structure and the double frequency conversion structure.
为了有效降低数字下变频器中的乘法速率,在多相滤波的基础上,提出了3种宽带数字下变频器结构,分别是混频器后置结构、最小公倍数结构和二次变频结构。
lowest [ least ] common multiple
最小公倍数(略L, C, M.)14
A Matrix Method for Greatest Common Factor and Least Common Multiple;
最大公因数与最小公倍数的矩阵求法
The K-th Power Sum Functions of GCD and LCM
最大公约数与最小公倍数的k次和函数
12 is the least common multiple of 2, 3, 4, and 6.Also called lowest common multiple
12是2、3、4和6的最小公倍数也作westcommonmultiple
A Application of the Least Common Multiple and Discourse Theorem;
最小公倍数的一个应用——兼谈剩余定理
The Basis Numbers of the Line Graphs and the Invertibility of the LCM Power Matrices;
线图的基数及最小公倍数幂矩阵的可逆性
the smallest multiple that is exactly divisible by every member of a set of numbers.
可以被集合中所有数目整除的最小倍数。
A Matrix Method of Computation of the minimal Common Multiple of Polynomial Group;
多项式组的最小公倍式计算的矩阵方法
a common denominator/factor/multiple
公分母/公因子/公倍数
lowest common denominator
ph.1. 【数】最小公分母
The quantities 6, 12, and 24 are common multiples of 2 and 3.
量6，12，24是2和3的公倍数
Five times as much, as many, or as large.
五倍的五倍数量或大小的
Making Optical Tolerance Using Minimum Cost as Target Function
以成本最小为目标函数制订光学公差
The numbers of college, middle school and primary school students were respectively 17.6 times, 40.3 times, and 5 times the 1949 figures.
大、中、小学的在校学生数分别为1949年的17.6倍、40.3倍和5倍。
Using the most high-powered telescope of the time,
凭借一台在当时倍数最高的望远镜，
If your order does not reach our minimum quantity per item, the unit price will be 10% higher than the usual price.
如果客人下单数量每款没有达到其最小订单量,则其单价就要在原来报价的基础上乘以1.1倍.
All matter is made of atoms,which are so small that they can not be seen even through the most powerful microscope.
所有物质都是由小得甚至用倍数最大的显微镜也看不到的原子组成的。
They are so small, in fact, that the most powerful microscope could not make them large enough to be seen.
事实上它们是小到连最高倍数的显微镜也不能把它们放大到足以被看到的程度。