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 一个数字如果恰好等于它的因子之和,这个数就称为完数。例如6=1+2+3找出1000以内所有完数。并按下面格式输出:是一个完数,它的因子是123.
追问:直接复制的 出不来结果啊
答案:代码:

% 一个数字如果恰好等于它的因子之和,这个数就称为“完数”。
% 例如6=1+2+3。找出1000以内所有“完数”。
% 并按下面格式输出: 6  是一个“完数”,它的因子是1,2,3.
clc; clear all; close all;
num = 1000;
for n = 1 : num
    divisors = 1:(n/2);
    remainder = mod(n, divisors);
    sumDivisors = sum(divisors(remainder == 0));
    if n == sumDivisors
        fprintf('\n %d 是一个“完数”,它的因子是', n);
        for i = 1 : length(divisors)-1
            fprintf('%d,', divisors(i));
        end
        fprintf('%d\n', divisors(end));
    end
end

结果


 6 是一个“完数”,它的因子是1,2,3

 28 是一个“完数”,它的因子是1,2,3,4,5,6,7,8,9,10,11,12,13,14

 496 是一个“完数”,它的因子是1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248
>>

 

请按照m文件的方式运行,如果有问题,请留下邮箱,将m文件发给你。

a=1:1000;
a(2*a'==accumarray(a',a',[],@(x)sum(a(abs(x./(1:x)-round(x./(1:x)))<eps))));

 

希望得到你的采纳

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