乘除法:

public class Solution {
    public int Sum_Solution(int n) {
        int sum=0;
        sum=(1+n)*n/2;
        return sum;
    }
}

时间复杂度:O(1)
空间复杂度:O(1)

for循环法:

public class Solution {
    public int Sum_Solution(int n) {
        int sum=0;
        for(int i=1;i<=n;i++){
            sum+=i;
        }
        return sum;
    }
}

时间复杂度:O(n)
空间复杂度:O(1)

while循环法:
public class Solution {
public int Sum_Solution(int n) {
int sum=0;
int i=1;
while(i<=n){
sum+=i;
i++;
}
return sum;
}
}

递归法:
public class Solution {
public int Sum_Solution(int n) {
if(n==1){
return 1;
}else{
return n+Sum_Solution(n-1);
}
}
}