如果满足以下条件,则正整数称为阿姆斯壮数( n阶)
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
检查阿姆斯壮三位数
#include
int main() {
int num, originalNum, remainder, result = 0;
printf("Enter a three-digit integer: ");
scanf("%d", &num);
originalNum = num;
while (originalNum != 0) {
// remainder contains the last digit
remainder = originalNum % 10;
result += remainder * remainder * remainder;
// removing last digit from the orignal number
originalNum /= 10;
}
if (result == num)
printf("%d is an Armstrong number.", num);
else
printf("%d is not an Armstrong number.", num);
return 0;
}
输出
Enter a three-digit integer: 371
371 is an Armstrong number.
检查阿姆斯壮n位数字
#include
#include
int main() {
int num, originalNum, remainder, n = 0;
float result = 0.0;
printf("Enter an integer: ");
scanf("%d", &num);
originalNum = num;
// store the number of digits of num in n
for (originalNum = num; originalNum != 0; ++n) {
originalNum /= 10;
}
for (originalNum = num; originalNum != 0; originalNum /= 10) {
remainder = originalNum % 10;
// store the sum of the power of individual digits in result
result += pow(remainder, n);
}
// if num is equal to result, the number is an Armstrong number
if ((int)result == num)
printf("%d is an Armstrong number.", num);
else
printf("%d is not an Armstrong number.", num);
return 0;
}
输出
Enter an integer: 1634
1634 is an Armstrong number.
在此程序中,首先计算一个整数的位数,并将其存储在n
。并且, pow()
函数用于计算第二个for
循环的每次迭代中各个数字的幂。