如果一个正整数称为阿姆斯特朗数( n阶),如果
abcd... = an + bn + cn + dn +
对于3位数的阿姆斯特朗数,每个数位的立方和等于该数字本身。例如,153是Armstrong的数字,因为
153 = 1*1*1 + 5*5*5 + 3*3*3
在尝试该程序之前,请学习如何检查整数是否为阿姆斯特朗数。
两个整数之间的阿姆斯壮数
#include
#include
int main() {
int low, high, number, originalNumber, rem, count = 0;
double result = 0.0;
printf("Enter two numbers(intervals): ");
scanf("%d %d", &low, &high);
printf("Armstrong numbers between %d and %d are: ", low, high);
// iterate number from (low + 1) to (high - 1)
// In each iteration, check if number is Armstrong
for (number = low + 1; number < high; ++number) {
originalNumber = number;
// number of digits calculation
while (originalNumber != 0) {
originalNumber /= 10;
++count;
}
originalNumber = number;
// result contains sum of nth power of individual digits
while (originalNumber != 0) {
rem = originalNumber % 10;
result += pow(rem, count);
originalNumber /= 10;
}
// check if number is equal to the sum of nth power of individual digits
if ((int)result == number) {
printf("%d ", number);
}
// resetting the values
count = 0;
result = 0;
}
return 0;
}
输出
Enter two numbers(intervals): 200
2000
Armstrong numbers between 200 and 2000 are: 370 371 407 1634
在程序中,外循环从(low + 1)迭代到(high-1) 。在每次迭代中,都会检查数字是否为阿姆斯壮数字。
在外循环内部,首先计算一个整数的位数,并将其存储在count
。并且,各个数字的幂之和存储在结果变量中。
如果number等于result
,则该数字为阿姆斯壮数字。
注意:您需要在外部循环的每次迭代中将计数和结果重置为0。