因?yàn)?br/>999999 / 100000 < 10
所以 末尾是0
即
ABCDE0 = 0BCDEA * 43
(A00000 + BCDE0) - (BCDE0 + A) = 0BCDEA * 42
A00000 - A = 0BCDEA * 42
(A-1)*100000 + 99990 + (10-A) = 0BCDEA * 42
個(gè)位相同
如果 a <= 5
則 10- A = 2*A
10 = 3A 無整數(shù)解
如果 a > 5
(10-A) = 2*A - 10
20 = 3A 無整數(shù)解
此題無解~
幫你用計(jì)算機(jī)驗(yàn)證下 全在這里了
最接近的是 512190 倍數(shù) 42 是不是你記錯(cuò)了 = =
100000 倍數(shù) 100000
100040 倍數(shù) 2440
100270 倍數(shù) 370
111110 倍數(shù) 10
200000 倍數(shù) 100000
200080 倍數(shù) 2440
200540 倍數(shù) 370
222220 倍數(shù) 10
300000 倍數(shù) 100000
300120 倍數(shù) 2440
300810 倍數(shù) 370
333330 倍數(shù) 10
400000 倍數(shù) 100000
400160 倍數(shù) 2440
401080 倍數(shù) 370
444440 倍數(shù) 10
500000 倍數(shù) 100000
500010 倍數(shù) 33334
500040 倍數(shù) 11112
500200 倍數(shù) 2440
500610 倍數(shù) 814
501350 倍數(shù) 370
501840 倍數(shù) 272
504060 倍數(shù) 124
512190 倍數(shù) 42
555550 倍數(shù) 10
600000 倍數(shù) 100000
600240 倍數(shù) 2440
601620 倍數(shù) 370
666660 倍數(shù) 10
700000 倍數(shù) 100000
700280 倍數(shù) 2440
701890 倍數(shù) 370
777770 倍數(shù) 10
800000 倍數(shù) 100000
800010 倍數(shù) 44445
800320 倍數(shù) 2440
800730 倍數(shù) 1085
802160 倍數(shù) 370
804870 倍數(shù) 165
888880 倍數(shù) 10
900000 倍數(shù) 100000
900360 倍數(shù) 2440
902430 倍數(shù) 370
999990 倍數(shù) 10
for (int i = 1 ; i < 999999 ; i++)
{
int a = (i / 100000);
int bcde = ((i %100000) / 10) * 10;
int f = i %10;
int multi = (a*100000 + bcde + f) / (f*100000 + bcde + a);
if ( ( (a*100000 + bcde + f) % (f*100000 + bcde + a) ) == 0
&&multi > 1
)
cout << i << " 倍數(shù)\t" << multi << endl;
}