其中f=(sqrt(5.0)1.0)/2.0;
因为log10(1-((1-√5)/(1√5))^n)趋近于0
所以可以写成log10(an)=-0.5*log10(5.0)((double)n)*log(f)/log(10.0);
最后取其小数部分。
#include<iostream>
#include<cmath>
#include<cstdio>
using namespace std;
const double s = (sqrt(5.0)1.0)/2;
int main()
{
int n,i;
doublebit;
int fac[21] = { 0 , 1 };
for(i = 2; i < 21; i)
fac[i] = fac[i-1] fac [i-2];
while(cin >> n)
{
if(n <= 20) {
cout << fac[n] << endl;
continue;
}
else{
bit = -0.5*log(5.0)/log(10.0)((double)n)*log(s)/log(10.0);//调用公式
bit = bit - floor(bit); //取小数部分└(^o^)┘
bit = pow(10.0,bit);
while(bit < 1000) //要求四位,所以要将小数点右边的数移到左边直到符合要求
bit = 10.0 * bit;
cout << (int)bit << endl;
}
}
return 0;
}
{
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,37, 41, 43, 47, 53, 59, 61, 67, 71, \
73, 79, 83, 89, 97, 101, 103, 107, 109,113, 127, 131, 137, 139, 149, 151, \
157, 163, 167, 173, 179, 181, 191, 193,197, 199, 211, 223, 227, 229, 233, \
239, 241, 251, 257, 263, 269, 271, 277,281, 283, 293, 307, 311, 313, 317, \
331, 337, 347, 349, 353, 359, 367, 373,379, 383, 389, 397, 401, 409, 419, \
421, 431, 433, 439, 443, 449, 457, 461,463, 467, 479, 487, 491, 499, 503, \
509, 521, 523, 541, 547, 557, 563, 569,571, 577, 587, 593, 599, 601, 607, \
613, 617, 619, 631, 641, 643, 647, 653,659, 661, 673, 677, 683, 691, 701, \
709, 719, 727, 733, 739, 743, 751, 757,761, 769, 773, 787, 797, 809, 811, \
821, 823, 827, 829, 839, 853, 857, 859,863, 877, 881, 883, 887, 907, 911, \
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