We consider three algorithms for allocating parliamentary seats by proportional representation. The usual approach to describing such algorithms is to compute a quota of votes that each party uses to "acquire'' representatives. This kind of description follows a divisor method, since the number of representatives for a party is equal to the number of votes for that party, divided by the quota. We show that a simple multiplicative form with different rounding methods produces algorithms equivalent to the divisor methods. The multiplicative form is intuitive and easier to understand for a wider audience.

翻译：我们研究了三种基于比例代表制分配议会席位的算法。描述此类算法的常规方法是计算各党派用于"获取"代表席位的票数配额。这种描述遵循除数法，因为某一政党的代表人数等于该党得票数除以配额。我们证明，采用不同舍入方式的简单乘法形式可产生与除数法等效的算法。乘法形式更为直观，且更易于大众理解。